379005432 has 64 divisors (see below), whose sum is σ = 1031940000. Its totient is φ = 115298304.

The previous prime is 379005421. The next prime is 379005433. The reversal of 379005432 is 234500973.

It is a happy number.

379005432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 379005393 and 379005402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379005433) 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, 20944 + ... + 34592.

Almost surely, 2^379005432 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 379005432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515970000).

379005432 is an abundant number, since it is smaller than the sum of its proper divisors (652934568).

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

379005432 is a wasteful number, since it uses less digits than its factorization.

379005432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13760 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 379005432 is about 19468.0618449809. The cubic root of 379005432 is about 723.6831789425.

The spelling of 379005432 in words is "three hundred seventy-nine million, five thousand, four hundred thirty-two".