3792960 has 112 divisors (see below), whose sum is σ = 13411200. Its totient is φ = 1009152.

The previous prime is 3792959. The next prime is 3792967. The reversal of 3792960 is 692973.

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

It is not an unprimeable number, because it can be changed into a prime (3792967) 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, 8421 + ... + 8859.

Almost surely, 2^3792960 is an apocalyptic number.

3792960 is a gapful number since it is divisible by the number (30) 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 3792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705600).

3792960 is an abundant number, since it is smaller than the sum of its proper divisors (9618240).

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

3792960 is a wasteful number, since it uses less digits than its factorization.

3792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3792960 is about 1947.5523099522. The cubic root of 3792960 is about 155.9526483504.

The spelling of 3792960 in words is "three million, seven hundred ninety-two thousand, nine hundred sixty".