3901578120 has 192 divisors, whose sum is σ = 13956883200. Its totient is φ = 937359360.

The previous prime is 3901578061. The next prime is 3901578139. The reversal of 3901578120 is 218751093.

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 47 ways as a sum of consecutive naturals, for example, 443121 + ... + 451839.

It is an arithmetic number, because the mean of its divisors is an integer number (72692100).

Almost surely, 2^3901578120 is an apocalyptic number.

3901578120 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 3901578120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978441600).

3901578120 is an abundant number, since it is smaller than the sum of its proper divisors (10055305080).

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

3901578120 is a wasteful number, since it uses less digits than its factorization.

3901578120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 3901578120 is about 62462.6137781633. The cubic root of 3901578120 is about 1574.2732005660.

The spelling of 3901578120 in words is "three billion, nine hundred one million, five hundred seventy-eight thousand, one hundred twenty".