3796416 has 112 divisors (see below), whose sum is σ = 12090400. Its totient is φ = 1168128.

The previous prime is 3796399. The next prime is 3796451. The reversal of 3796416 is 6146973.

The cubic root of 3796416 is 156.

It is a perfect power (a cube), and thus also a powerful number.

3796416 is a `hidden beast` number, since 3 + 7 + 9 + 641 + 6 = 666.

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

Its product of digits (27216) is a multiple of the sum of its prime divisors (18).

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, 292026 + ... + 292038.

It is an arithmetic number, because the mean of its divisors is an integer number (107950).

Almost surely, 2^3796416 is an apocalyptic number.

3796416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045200).

3796416 is an abundant number, since it is smaller than the sum of its proper divisors (8293984).

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

3796416 is an equidigital number, since it uses as much as digits as its factorization.

3796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 18 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3796416 is about 1948.4393755003.

The spelling of 3796416 in words is "three million, seven hundred ninety-six thousand, four hundred sixteen".