3648916454400 has 1584 divisors, whose sum is σ = 15686814074880. Its totient is φ = 792811929600.

The previous prime is 3648916454399. The next prime is 3648916454501. The reversal of 3648916454400 is 44546198463.

3648916454400 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 91 + 6 + 4 + 544 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2949810582 + ... + 2949811818.

Almost surely, 2^{3648916454400} is an apocalyptic number.

3648916454400 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 3648916454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843407037440).

3648916454400 is an abundant number, since it is smaller than the sum of its proper divisors (12037897620480).

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

3648916454400 is a wasteful number, since it uses less digits than its factorization.

3648916454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3648916454400 in words is "three trillion, six hundred forty-eight billion, nine hundred sixteen million, four hundred fifty-four thousand, four hundred".