3915672 has 64 divisors (see below), whose sum is σ = 10675200. Its totient is φ = 1192320.

The previous prime is 3915631. The next prime is 3915683. The reversal of 3915672 is 2765193.

It is a super-3 number, since 3×3915672³ (a number of 21 digits) contains 333 as substring.

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, 13998 + ... + 14274.

It is an arithmetic number, because the mean of its divisors is an integer number (166800).

Almost surely, 2^3915672 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 3915672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337600).

3915672 is an abundant number, since it is smaller than the sum of its proper divisors (6759528).

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

3915672 is a wasteful number, since it uses less digits than its factorization.

3915672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 3915672 is about 1978.8057004163. The cubic root of 3915672 is about 157.6166533116.

The spelling of 3915672 in words is "three million, nine hundred fifteen thousand, six hundred seventy-two".