3646264106400 has 144 divisors (see below), whose sum is σ = 11880020880000. Its totient is φ = 971400591360.

The previous prime is 3646264106389. The next prime is 3646264106417. The reversal of 3646264106400 is 46014626463.

3646264106400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1762476 + ... + 3224724.

It is an arithmetic number, because the mean of its divisors is an integer number (82500145000).

Almost surely, 2^{3646264106400} is an apocalyptic number.

3646264106400 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 3646264106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940010440000).

3646264106400 is an abundant number, since it is smaller than the sum of its proper divisors (8233756773600).

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

3646264106400 is a wasteful number, since it uses less digits than its factorization.

3646264106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463311 (or 1463298 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 3646264106400 in words is "three trillion, six hundred forty-six billion, two hundred sixty-four million, one hundred six thousand, four hundred".