3918672 has 80 divisors (see below), whose sum is σ = 11546880. Its totient is φ = 1271808.

The previous prime is 3918667. The next prime is 3918689. The reversal of 3918672 is 2768193.

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 15 ways as a sum of consecutive naturals, for example, 20208 + ... + 20400.

It is an arithmetic number, because the mean of its divisors is an integer number (144336).

Almost surely, 2^3918672 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 3918672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773440).

3918672 is an abundant number, since it is smaller than the sum of its proper divisors (7628208).

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

3918672 is a wasteful number, since it uses less digits than its factorization.

3918672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3918672 is about 1979.5635882689. The cubic root of 3918672 is about 157.6568958084.

The spelling of 3918672 in words is "three million, nine hundred eighteen thousand, six hundred seventy-two".