3160804083840 has 1280 divisors, whose sum is σ = 12594005867520. Its totient is φ = 750509162496.

The previous prime is 3160804083817. The next prime is 3160804083841. The reversal of 3160804083840 is 483804080613.

3160804083840 is a `hidden beast` number, since 3 + 1 + 608 + 0 + 4 + 0 + 8 + 38 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3160804083841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2312218837 + ... + 2312220203.

It is an arithmetic number, because the mean of its divisors is an integer number (9839067084).

Almost surely, 2^{3160804083840} is an apocalyptic number.

3160804083840 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 3160804083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297002933760).

3160804083840 is an abundant number, since it is smaller than the sum of its proper divisors (9433201783680).

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

3160804083840 is a wasteful number, since it uses less digits than its factorization.

3160804083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3160804083840 in words is "three trillion, one hundred sixty billion, eight hundred four million, eighty-three thousand, eight hundred forty".