3901105152 has 220 divisors, whose sum is σ = 13315653120. Its totient is φ = 1114435584.

The previous prime is 3901105133. The next prime is 3901105177. The reversal of 3901105152 is 2515011093.

3901105152 is a `hidden beast` number, since 39 + 0 + 110 + 515 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 577249 + ... + 583967.

It is an arithmetic number, because the mean of its divisors is an integer number (60525696).

Almost surely, 2^3901105152 is an apocalyptic number.

3901105152 is a gapful number since it is divisible by the number (32) 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 3901105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657826560).

3901105152 is an abundant number, since it is smaller than the sum of its proper divisors (9414547968).

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

3901105152 is an equidigital number, since it uses as much as digits as its factorization.

3901105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 3901105152 is about 62458.8276547039. The cubic root of 3901105152 is about 1574.2095843477.

The spelling of 3901105152 in words is "three billion, nine hundred one million, one hundred five thousand, one hundred fifty-two".