3628429516800 has 2688 divisors, whose sum is σ = 16060163155200. Its totient is φ = 799329484800.

The previous prime is 3628429516769. The next prime is 3628429516837. The reversal of 3628429516800 is 86159248263.

3628429516800 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 42 + 9 + 516 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125118259186 + ... + 125118259214.

Almost surely, 2^{3628429516800} is an apocalyptic number.

3628429516800 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 3628429516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030081577600).

3628429516800 is an abundant number, since it is smaller than the sum of its proper divisors (12431733638400).

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

3628429516800 is a wasteful number, since it uses less digits than its factorization.

3628429516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3628429516800 in words is "three trillion, six hundred twenty-eight billion, four hundred twenty-nine million, five hundred sixteen thousand, eight hundred".