3180104086400 has 384 divisors, whose sum is σ = 8266388774400. Its totient is φ = 1207184384000.

The previous prime is 3180104086391. The next prime is 3180104086409. The reversal of 3180104086400 is 46804010813.

3180104086400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3180104086391) and next prime (3180104086409).

It is a super-2 number, since 2×3180104086400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3180104086409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3235100309 + ... + 3235101291.

It is an arithmetic number, because the mean of its divisors is an integer number (21527054100).

Almost surely, 2^{3180104086400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3180104086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133194387200).

3180104086400 is an abundant number, since it is smaller than the sum of its proper divisors (5086284688000).

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

3180104086400 is a wasteful number, since it uses less digits than its factorization.

3180104086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 3180104086400 in words is "three trillion, one hundred eighty billion, one hundred four million, eighty-six thousand, four hundred".