3708536832 has 768 divisors, whose sum is σ = 14970009600. Its totient is φ = 875888640.

The previous prime is 3708536803. The next prime is 3708536837. The reversal of 3708536832 is 2386358073.

3708536832 is a `hidden beast` number, since 37 + 0 + 8 + 536 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (3708536837) 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, 55351263 + ... + 55351329.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 2^3708536832 is an apocalyptic number.

3708536832 is a gapful number since it is divisible by the number (32) 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 3708536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485004800).

3708536832 is an abundant number, since it is smaller than the sum of its proper divisors (11261472768).

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

3708536832 is a wasteful number, since it uses less digits than its factorization.

3708536832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3708536832 is about 60897.7572000809. The cubic root of 3708536832 is about 1547.8689871695.

The spelling of 3708536832 in words is "three billion, seven hundred eight million, five hundred thirty-six thousand, eight hundred thirty-two".