3669787976400 has 2400 divisors, whose sum is σ = 17248286316800. Its totient is φ = 725594112000.

The previous prime is 3669787976363. The next prime is 3669787976401. The reversal of 3669787976400 is 46797879663.

3669787976400 is a `hidden beast` number, since 3 + 6 + 69 + 78 + 7 + 97 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669787976401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6106136100 + ... + 6106136700.

Almost surely, 2^{3669787976400} is an apocalyptic number.

3669787976400 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 3669787976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624143158400).

3669787976400 is an abundant number, since it is smaller than the sum of its proper divisors (13578498340400).

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

3669787976400 is a wasteful number, since it uses less digits than its factorization.

3669787976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 3669787976400 in words is "three trillion, six hundred sixty-nine billion, seven hundred eighty-seven million, nine hundred seventy-six thousand, four hundred".