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3685612320 = 2533513293173
BaseRepresentation
bin1101101110101101…
…1111101100100000
3100111212010111122000
43123223133230200
530022004043240
61405415244000
7160222121265
oct33353375440
910455114560
103685612320
1116214830a5
1286a379600
13469756bc0
1426d6b726c
15168873430
hexdbadfb20

3685612320 has 768 divisors, whose sum is σ = 15037747200. Its totient is φ = 836075520.

The previous prime is 3685612279. The next prime is 3685612321. The reversal of 3685612320 is 232165863.

It is a happy number.

3685612320 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 612 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3685612321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50487804 + ... + 50487876.

It is an arithmetic number, because the mean of its divisors is an integer number (19580400).

Almost surely, 23685612320 is an apocalyptic number.

3685612320 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 3685612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518873600).

3685612320 is an abundant number, since it is smaller than the sum of its proper divisors (11352134880).

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

3685612320 is a wasteful number, since it uses less digits than its factorization.

3685612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3685612320 is about 60709.2441066433. The cubic root of 3685612320 is about 1544.6729819705.

It can be divided in two parts, 368561 and 2320, that added together give a square (370881 = 6092).

The spelling of 3685612320 in words is "three billion, six hundred eighty-five million, six hundred twelve thousand, three hundred twenty".