3792642 has 32 divisors (see below), whose sum is σ = 8794752. Its totient is φ = 1067904.

The previous prime is 3792641. The next prime is 3792661. The reversal of 3792642 is 2462973.

3792642 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3792642 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (3792641) 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, 2448 + ... + 3684.

It is an arithmetic number, because the mean of its divisors is an integer number (274836).

Almost surely, 2^3792642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3792642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397376).

3792642 is an abundant number, since it is smaller than the sum of its proper divisors (5002110).

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

3792642 is a wasteful number, since it uses less digits than its factorization.

3792642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322.

The product of its digits is 18144, while the sum is 33.

The square root of 3792642 is about 1947.4706673016. The cubic root of 3792642 is about 155.9482898961.

The spelling of 3792642 in words is "three million, seven hundred ninety-two thousand, six hundred forty-two".