3695811181920 has 1152 divisors, whose sum is σ = 15845268636288. Its totient is φ = 770605056000.

The previous prime is 3695811181873. The next prime is 3695811181961. The reversal of 3695811181920 is 291811185963.

It is a happy number.

3695811181920 is a `hidden beast` number, since 36 + 9 + 581 + 1 + 1 + 8 + 1 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 353559414 + ... + 353569866.

It is an arithmetic number, because the mean of its divisors is an integer number (13754573469).

Almost surely, 2^{3695811181920} is an apocalyptic number.

3695811181920 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 3695811181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922634318144).

3695811181920 is an abundant number, since it is smaller than the sum of its proper divisors (12149457454368).

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

3695811181920 is a wasteful number, since it uses less digits than its factorization.

3695811181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 3695811181920 in words is "three trillion, six hundred ninety-five billion, eight hundred eleven million, one hundred eighty-one thousand, nine hundred twenty".