377978432 has 56 divisors (see below), whose sum is σ = 813435000. Its totient is φ = 173223936.

The previous prime is 377978413. The next prime is 377978441. The reversal of 377978432 is 234879773.

It can be written as a sum of positive squares in 4 ways, for example, as 22429696 + 355548736 = 4736^2 + 18856^2 .

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, 122444 + ... + 125492.

It is an arithmetic number, because the mean of its divisors is an integer number (14525625).

Almost surely, 2^377978432 is an apocalyptic number.

377978432 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 377978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406717500).

377978432 is an abundant number, since it is smaller than the sum of its proper divisors (435456568).

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

377978432 is a wasteful number, since it uses less digits than its factorization.

377978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3213 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 50.

The square root of 377978432 is about 19441.6674182026. The cubic root of 377978432 is about 723.0289271528.

The spelling of 377978432 in words is "three hundred seventy-seven million, nine hundred seventy-eight thousand, four hundred thirty-two".