3670504056 has 192 divisors, whose sum is σ = 10701600000. Its totient is φ = 1133180928.

The previous prime is 3670504031. The next prime is 3670504063. The reversal of 3670504056 is 6504050763.

3670504056 is a `hidden beast` number, since 36 + 70 + 504 + 0 + 56 = 666.

It is a super-2 number, since 2×3670504056² = 26945200050224902272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3670504056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18444645 + ... + 18444843.

It is an arithmetic number, because the mean of its divisors is an integer number (55737500).

Almost surely, 2^3670504056 is an apocalyptic number.

3670504056 is a gapful number since it is divisible by the number (36) 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 3670504056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350800000).

3670504056 is an abundant number, since it is smaller than the sum of its proper divisors (7031095944).

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

3670504056 is a wasteful number, since it uses less digits than its factorization.

3670504056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3670504056 is about 60584.6849954673. The cubic root of 3670504056 is about 1542.5594219478.

The spelling of 3670504056 in words is "three billion, six hundred seventy million, five hundred four thousand, fifty-six".