3901120 has 56 divisors (see below), whose sum is σ = 9473184. Its totient is φ = 1529856.

The previous prime is 3901111. The next prime is 3901127. The reversal of 3901120 is 211093.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3901094 and 3901103.

It is not an unprimeable number, because it can be changed into a prime (3901127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23277 + ... + 23443.

It is an arithmetic number, because the mean of its divisors is an integer number (169164).

Almost surely, 2^3901120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736592).

3901120 is an abundant number, since it is smaller than the sum of its proper divisors (5572064).

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

3901120 is a wasteful number, since it uses less digits than its factorization.

3901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 3901120 is about 1975.1253124802. The cubic root of 3901120 is about 157.4211581545.

The spelling of 3901120 in words is "three million, nine hundred one thousand, one hundred twenty".