3089116800 has 864 divisors, whose sum is σ = 14058252000. Its totient is φ = 638668800.

The previous prime is 3089116787. The next prime is 3089116813. The reversal of 3089116800 is 86119803.

It is an interprime number because it is at equal distance from previous prime (3089116787) and next prime (3089116813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15523101 + ... + 15523299.

It is an arithmetic number, because the mean of its divisors is an integer number (16271125).

Almost surely, 2^3089116800 is an apocalyptic number.

3089116800 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 3089116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029126000).

3089116800 is an abundant number, since it is smaller than the sum of its proper divisors (10969135200).

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

3089116800 is a wasteful number, since it uses less digits than its factorization.

3089116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 3089116800 is about 55579.8236773022. The cubic root of 3089116800 is about 1456.3914135054.

The spelling of 3089116800 in words is "three billion, eighty-nine million, one hundred sixteen thousand, eight hundred".