3792480 has 48 divisors (see below), whose sum is σ = 11947824. Its totient is φ = 1011200.

The previous prime is 3792443. The next prime is 3792487. The reversal of 3792480 is 842973.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3792487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3471 + ... + 4430.

It is an arithmetic number, because the mean of its divisors is an integer number (248913).

Almost surely, 2^3792480 is an apocalyptic number.

3792480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3792480 is an abundant number, since it is smaller than the sum of its proper divisors (8155344).

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

3792480 is a wasteful number, since it uses less digits than its factorization.

3792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3792480 is about 1947.4290744466. The cubic root of 3792480 is about 155.9460694578.

The spelling of 3792480 in words is "three million, seven hundred ninety-two thousand, four hundred eighty".