3688631078400 has 1440 divisors, whose sum is σ = 13951657893888. Its totient is φ = 929901772800.

The previous prime is 3688631078389. The next prime is 3688631078423. The reversal of 3688631078400 is 48701368863.

3688631078400 is a `hidden beast` number, since 3 + 68 + 86 + 31 + 0 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 29044339137 + ... + 29044339263.

Almost surely, 2^{3688631078400} is an apocalyptic number.

3688631078400 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 3688631078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975828946944).

3688631078400 is an abundant number, since it is smaller than the sum of its proper divisors (10263026815488).

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

3688631078400 is a wasteful number, since it uses less digits than its factorization.

3688631078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3688631078400 in words is "three trillion, six hundred eighty-eight billion, six hundred thirty-one million, seventy-eight thousand, four hundred".