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3694931640 = 233551759379
BaseRepresentation
bin1101110000111100…
…0010111010111000
3100112111122222100000
43130033002322320
530031400303030
61410351113000
7160364254311
oct33417027270
910474588300
103694931640
111626768914
12871512760
1346b66a9aa
14270a21608
151695b4860
hexdc3c2eb8

3694931640 has 384 divisors, whose sum is σ = 13444704000. Its totient is φ = 909232128.

The previous prime is 3694931609. The next prime is 3694931677. The reversal of 3694931640 is 461394963.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9748971 + ... + 9749349.

It is an arithmetic number, because the mean of its divisors is an integer number (35012250).

Almost surely, 23694931640 is an apocalyptic number.

3694931640 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 3694931640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352000).

3694931640 is an abundant number, since it is smaller than the sum of its proper divisors (9749772360).

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

3694931640 is a wasteful number, since it uses less digits than its factorization.

3694931640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3694931640 is about 60785.9493633192. The cubic root of 3694931640 is about 1545.9738228635.

The spelling of 3694931640 in words is "three billion, six hundred ninety-four million, nine hundred thirty-one thousand, six hundred forty".