3666710720400 has 240 divisors, whose sum is σ = 14456242491264. Its totient is φ = 773635645440.

The previous prime is 3666710720389. The next prime is 3666710720443. The reversal of 3666710720400 is 40270176663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16679769 + ... + 16898168.

Almost surely, 2^{3666710720400} is an apocalyptic number.

3666710720400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3666710720400 is an abundant number, since it is smaller than the sum of its proper divisors (10789531770864).

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

3666710720400 is a wasteful number, since it uses less digits than its factorization.

3666710720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33577978 (or 33577967 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 3666710720400 in words is "three trillion, six hundred sixty-six billion, seven hundred ten million, seven hundred twenty thousand, four hundred".