3758832 has 160 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 967680.

The previous prime is 3758809. The next prime is 3758851. The reversal of 3758832 is 2388573.

3758832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33208 + ... + 33320.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

Almost surely, 2^3758832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3758832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

3758832 is an abundant number, since it is smaller than the sum of its proper divisors (9811728).

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

3758832 is a wasteful number, since it uses less digits than its factorization.

3758832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3758832 is about 1938.7707445699. The cubic root of 3758832 is about 155.4834989021.

The spelling of 3758832 in words is "three million, seven hundred fifty-eight thousand, eight hundred thirty-two".