3108634848000 has 864 divisors, whose sum is σ = 12654962191872. Its totient is φ = 753587712000.

The previous prime is 3108634847947. The next prime is 3108634848031. The reversal of 3108634848000 is 8484368013.

3108634848000 is a `hidden beast` number, since 3 + 1 + 0 + 8 + 634 + 8 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3108634848000² (a number of 26 digits) contains 22 as substring.

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

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, 85517829 + ... + 85554171.

Almost surely, 2^{3108634848000} is an apocalyptic number.

3108634848000 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 3108634848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327481095936).

3108634848000 is an abundant number, since it is smaller than the sum of its proper divisors (9546327343872).

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

3108634848000 is an equidigital number, since it uses as much as digits as its factorization.

3108634848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36400 (or 36364 counting only the distinct ones).

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

The spelling of 3108634848000 in words is "three trillion, one hundred eight billion, six hundred thirty-four million, eight hundred forty-eight thousand".