3793152 has 72 divisors (see below), whose sum is σ = 11037600. Its totient is φ = 1146880.

The previous prime is 3793133. The next prime is 3793177. The reversal of 3793152 is 2513973.

3793152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8224 + ... + 8672.

It is an arithmetic number, because the mean of its divisors is an integer number (153300).

Almost surely, 2^3793152 is an apocalyptic number.

3793152 is a gapful number since it is divisible by the number (32) 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 3793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518800).

3793152 is an abundant number, since it is smaller than the sum of its proper divisors (7244448).

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

3793152 is a wasteful number, since it uses less digits than its factorization.

3793152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 3793152 is about 1947.6016019710. The cubic root of 3793152 is about 155.9552797520.

The spelling of 3793152 in words is "three million, seven hundred ninety-three thousand, one hundred fifty-two".