3667785638400 has 1080 divisors, whose sum is σ = 14833135190016. Its totient is φ = 863480217600.

The previous prime is 3667785638371. The next prime is 3667785638441. The reversal of 3667785638400 is 48365877663.

3667785638400 is a `hidden beast` number, since 3 + 6 + 67 + 7 + 8 + 563 + 8 + 4 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 447778305 + ... + 447786495.

Almost surely, 2^{3667785638400} is an apocalyptic number.

3667785638400 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 3667785638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416567595008).

3667785638400 is an abundant number, since it is smaller than the sum of its proper divisors (11165349551616).

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

3667785638400 is a wasteful number, since it uses less digits than its factorization.

3667785638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3667785638400 in words is "three trillion, six hundred sixty-seven billion, seven hundred eighty-five million, six hundred thirty-eight thousand, four hundred".