3901893120 has 400 divisors, whose sum is σ = 14449932288. Its totient is φ = 1005281280.

The previous prime is 3901893113. The next prime is 3901893133. The reversal of 3901893120 is 213981093.

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 39 ways as a sum of consecutive naturals, for example, 6427857 + ... + 6428463.

Almost surely, 2^3901893120 is an apocalyptic number.

3901893120 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 3901893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224966144).

3901893120 is an abundant number, since it is smaller than the sum of its proper divisors (10548039168).

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

3901893120 is an equidigital number, since it uses as much as digits as its factorization.

3901893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3901893120 is about 62465.1352355856. The cubic root of 3901893120 is about 1574.3155665606.

The spelling of 3901893120 in words is "three billion, nine hundred one million, eight hundred ninety-three thousand, one hundred twenty".