3000795120 has 320 divisors, whose sum is σ = 11107860480. Its totient is φ = 741888000.

The previous prime is 3000795113. The next prime is 3000795131. The reversal of 3000795120 is 215970003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2606545 + ... + 2607695.

It is an arithmetic number, because the mean of its divisors is an integer number (34712064).

Almost surely, 2^3000795120 is an apocalyptic number.

3000795120 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 3000795120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553930240).

3000795120 is an abundant number, since it is smaller than the sum of its proper divisors (8107065360).

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

3000795120 is a wasteful number, since it uses less digits than its factorization.

3000795120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3000795120 is about 54779.5136889695. The cubic root of 3000795120 is about 1442.3769769942.

The spelling of 3000795120 in words is "three billion, seven hundred ninety-five thousand, one hundred twenty".