3691691636256 has 288 divisors, whose sum is σ = 11844720695808. Its totient is φ = 1082853826560.

The previous prime is 3691691636221. The next prime is 3691691636263. The reversal of 3691691636256 is 6526361961963.

It is a happy number.

3691691636256 is a `hidden beast` number, since 3 + 69 + 169 + 1 + 6 + 362 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3691691636256² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3691691636193 and 3691691636202.

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, 7538920 + ... + 8013656.

It is an arithmetic number, because the mean of its divisors is an integer number (41127502416).

Almost surely, 2^{3691691636256} is an apocalyptic number.

3691691636256 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 3691691636256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922360347904).

3691691636256 is an abundant number, since it is smaller than the sum of its proper divisors (8153029059552).

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

3691691636256 is a wasteful number, since it uses less digits than its factorization.

3691691636256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474864 (or 474853 counting only the distinct ones).

The product of its digits is 56687040, while the sum is 63.

The spelling of 3691691636256 in words is "three trillion, six hundred ninety-one billion, six hundred ninety-one million, six hundred thirty-six thousand, two hundred fifty-six".