3691682025696 has 864 divisors, whose sum is σ = 13080203136000. Its totient is φ = 981876639744.

The previous prime is 3691682025659. The next prime is 3691682025701. The reversal of 3691682025696 is 6965202861963.

3691682025696 is a `hidden beast` number, since 3 + 6 + 9 + 1 + 68 + 2 + 0 + 2 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 8409298245 + ... + 8409298683.

It is an arithmetic number, because the mean of its divisors is an integer number (15139124000).

Almost surely, 2^{3691682025696} is an apocalyptic number.

3691682025696 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 3691682025696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540101568000).

3691682025696 is an abundant number, since it is smaller than the sum of its proper divisors (9388521110304).

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

3691682025696 is a wasteful number, since it uses less digits than its factorization.

3691682025696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3691682025696 in words is "three trillion, six hundred ninety-one billion, six hundred eighty-two million, twenty-five thousand, six hundred ninety-six".