3792000 has 128 divisors (see below), whose sum is σ = 12729600. Its totient is φ = 998400.

The previous prime is 3791981. The next prime is 3792017. The reversal of 3792000 is 2973.

It is a tau number, because it is divible by the number of its divisors (128).

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, 47961 + ... + 48039.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

Almost surely, 2^3792000 is an apocalyptic number.

3792000 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 3792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364800).

3792000 is an abundant number, since it is smaller than the sum of its proper divisors (8937600).

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

3792000 is an equidigital number, since it uses as much as digits as its factorization.

3792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3792000 is about 1947.3058311421. The cubic root of 3792000 is about 155.9394900101.

Adding to 3792000 its reverse (2973), we get a palindrome (3794973).

The spelling of 3792000 in words is "three million, seven hundred ninety-two thousand".