3125648332800 has 864 divisors, whose sum is σ = 13349723063040. Its totient is φ = 683355340800.

The previous prime is 3125648332789. The next prime is 3125648332817. The reversal of 3125648332800 is 82338465213.

3125648332800 is a `hidden beast` number, since 3 + 1 + 2 + 564 + 8 + 3 + 3 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74167735 + ... + 74209865.

It is an arithmetic number, because the mean of its divisors is an integer number (15451068360).

Almost surely, 2^{3125648332800} is an apocalyptic number.

3125648332800 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 3125648332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674861531520).

3125648332800 is an abundant number, since it is smaller than the sum of its proper divisors (10224074730240).

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

3125648332800 is a wasteful number, since it uses less digits than its factorization.

3125648332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42199 (or 42171 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3125648332800 in words is "three trillion, one hundred twenty-five billion, six hundred forty-eight million, three hundred thirty-two thousand, eight hundred".