3664945193900 has 72 divisors (see below), whose sum is σ = 8002148090160. Its totient is φ = 1456912707840.

The previous prime is 3664945193893. The next prime is 3664945193939. The reversal of 3664945193900 is 93915494663.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3664945193900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43882982 + ... + 43966418.

Almost surely, 2^{3664945193900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664945193900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001074045080).

3664945193900 is an abundant number, since it is smaller than the sum of its proper divisors (4337202896260).

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

3664945193900 is a wasteful number, since it uses less digits than its factorization.

3664945193900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86163 (or 86156 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 59.

The spelling of 3664945193900 in words is "three trillion, six hundred sixty-four billion, nine hundred forty-five million, one hundred ninety-three thousand, nine hundred".