3648464866400 has 36 divisors (see below), whose sum is σ = 8906814857052. Its totient is φ = 1459385946240.

The previous prime is 3648464866399. The next prime is 3648464866421. The reversal of 3648464866400 is 46684648463.

3648464866400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3648464866400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3648464866400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2280289742 + ... + 2280291341.

It is an arithmetic number, because the mean of its divisors is an integer number (247411523807).

Almost surely, 2^{3648464866400} is an apocalyptic number.

It is an amenable number.

3648464866400 is an abundant number, since it is smaller than the sum of its proper divisors (5258349990652).

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

3648464866400 is a wasteful number, since it uses less digits than its factorization.

3648464866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560581103 (or 4560581090 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 59.

The spelling of 3648464866400 in words is "three trillion, six hundred forty-eight billion, four hundred sixty-four million, eight hundred sixty-six thousand, four hundred".