3918960 has 60 divisors (see below), whose sum is σ = 13163592. Its totient is φ = 1044864.

The previous prime is 3918949. The next prime is 3918983. The reversal of 3918960 is 698193.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2002 + ... + 3441.

Almost surely, 2^3918960 is an apocalyptic number.

3918960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3918960 is an abundant number, since it is smaller than the sum of its proper divisors (9244632).

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

3918960 is a wasteful number, since it uses less digits than its factorization.

3918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5453 counting only the distinct ones).

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

The square root of 3918960 is about 1979.6363302385. The cubic root of 3918960 is about 157.6607580074.

The spelling of 3918960 in words is "three million, nine hundred eighteen thousand, nine hundred sixty".