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3696474720 = 253531417383
BaseRepresentation
bin1101110001010011…
…1011101001100000
3100112121120101001010
43130110323221200
530032244142340
61410444140520
7160413342141
oct33424735140
910477511033
103696474720
111627622194
12871b37740
1346ba8b163
14270d03ac8
151697bbb80
hexdc53ba60

3696474720 has 384 divisors, whose sum is σ = 12631707648. Its totient is φ = 906854400.

The previous prime is 3696474673. The next prime is 3696474721. The reversal of 3696474720 is 274746963.

3696474720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3696474720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3696474721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44535799 + ... + 44535881.

It is an arithmetic number, because the mean of its divisors is an integer number (32895072).

Almost surely, 23696474720 is an apocalyptic number.

3696474720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3696474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315853824).

3696474720 is an abundant number, since it is smaller than the sum of its proper divisors (8935232928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3696474720 is a wasteful number, since it uses less digits than its factorization.

3696474720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The square root of 3696474720 is about 60798.6407742805. The cubic root of 3696474720 is about 1546.1890031437.

The spelling of 3696474720 in words is "three billion, six hundred ninety-six million, four hundred seventy-four thousand, seven hundred twenty".