3892416 has 112 divisors (see below), whose sum is σ = 11948160. Its totient is φ = 1105920.

The previous prime is 3892411. The next prime is 3892457. The reversal of 3892416 is 6142983.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40080 + ... + 40176.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

Almost surely, 2^3892416 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 3892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974080).

3892416 is an abundant number, since it is smaller than the sum of its proper divisors (8055744).

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

3892416 is a wasteful number, since it uses less digits than its factorization.

3892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3892416 is about 1972.9206775742. The cubic root of 3892416 is about 157.3039940185.

It can be divided in two parts, 38 and 92416, that multiplied together give a cube (3511808 = 152³).

The spelling of 3892416 in words is "three million, eight hundred ninety-two thousand, four hundred sixteen".