3664621062400 has 81 divisors (see below), whose sum is σ = 9070888801611. Its totient is φ = 1465787166720.

The previous prime is 3664621062359. The next prime is 3664621062407. The reversal of 3664621062400 is 42601264663.

The square root of 3664621062400 is 1914320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10345330944 + 3654275731456 = 101712^2 + 1911616^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3664621062407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 153133636 + ... + 153157564.

Almost surely, 2^{3664621062400} is an apocalyptic number.

3664621062400 is the 1914320-th square number.

It is an amenable number.

3664621062400 is an abundant number, since it is smaller than the sum of its proper divisors (5406267739211).

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

3664621062400 is an frugal number, since it uses more digits than its factorization.

3664621062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47884 (or 23936 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 3664621062400 in words is "three trillion, six hundred sixty-four billion, six hundred twenty-one million, sixty-two thousand, four hundred".