3696649756800 has 2304 divisors, whose sum is σ = 16638340792320. Its totient is φ = 700445491200.

The previous prime is 3696649756799. The next prime is 3696649756817. The reversal of 3696649756800 is 86579466963.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15865449484 + ... + 15865449716.

It is an arithmetic number, because the mean of its divisors is an integer number (7221502080).

Almost surely, 2^{3696649756800} is an apocalyptic number.

3696649756800 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 3696649756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319170396160).

3696649756800 is an abundant number, since it is smaller than the sum of its proper divisors (12941691035520).

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

3696649756800 is a wasteful number, since it uses less digits than its factorization.

3696649756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 3696649756800 in words is "three trillion, six hundred ninety-six billion, six hundred forty-nine million, seven hundred fifty-six thousand, eight hundred".