3762432 has 108 divisors (see below), whose sum is σ = 11479104. Its totient is φ = 1182720.

The previous prime is 3762403. The next prime is 3762433. The reversal of 3762432 is 2342673.

3762432 is a `hidden beast` number, since 3 + 7 + 624 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3762396 and 3762405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3762433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52957 + ... + 53027.

It is an arithmetic number, because the mean of its divisors is an integer number (106288).

Almost surely, 2^3762432 is an apocalyptic number.

3762432 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 3762432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739552).

3762432 is an abundant number, since it is smaller than the sum of its proper divisors (7716672).

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

3762432 is a wasteful number, since it uses less digits than its factorization.

3762432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3762432 is about 1939.6989457130. The cubic root of 3762432 is about 155.5331208764.

The spelling of 3762432 in words is "three million, seven hundred sixty-two thousand, four hundred thirty-two".