3125479200000 has 864 divisors, whose sum is σ = 11121969648384. Its totient is φ = 777216000000.

The previous prime is 3125479199993. The next prime is 3125479200031. The reversal of 3125479200000 is 29745213.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2263199310 + ... + 2263200690.

It is an arithmetic number, because the mean of its divisors is an integer number (12872650056).

Almost surely, 2^{3125479200000} is an apocalyptic number.

3125479200000 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 3125479200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560984824192).

3125479200000 is an abundant number, since it is smaller than the sum of its proper divisors (7996490448384).

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

3125479200000 is an equidigital number, since it uses as much as digits as its factorization.

3125479200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 3125479200000 in words is "three trillion, one hundred twenty-five billion, four hundred seventy-nine million, two hundred thousand".