3662195972400 has 360 divisors, whose sum is σ = 14611374645504. Its totient is φ = 832059993600.

The previous prime is 3662195972377. The next prime is 3662195972437. The reversal of 3662195972400 is 42795912663.

3662195972400 is a `hidden beast` number, since 3 + 6 + 6 + 2 + 1 + 9 + 597 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3773295 + ... + 4643505.

Almost surely, 2^{3662195972400} is an apocalyptic number.

3662195972400 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 3662195972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7305687322752).

3662195972400 is an abundant number, since it is smaller than the sum of its proper divisors (10949178673104).

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

3662195972400 is a wasteful number, since it uses less digits than its factorization.

3662195972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870409 (or 870395 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3662195972400 in words is "three trillion, six hundred sixty-two billion, one hundred ninety-five million, nine hundred seventy-two thousand, four hundred".