379965952 has 80 divisors (see below), whose sum is σ = 807760800. Its totient is φ = 178053120.

The previous prime is 379965947. The next prime is 379965967. The reversal of 379965952 is 259569973.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 379965893 and 379965902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1352052 + ... + 1352332.

It is an arithmetic number, because the mean of its divisors is an integer number (10097010).

Almost surely, 2^379965952 is an apocalyptic number.

379965952 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 379965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403880400).

379965952 is an abundant number, since it is smaller than the sum of its proper divisors (427794848).

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

379965952 is a wasteful number, since it uses less digits than its factorization.

379965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 55.

The square root of 379965952 is about 19492.7153572816. The cubic root of 379965952 is about 724.2940108041.

It can be divided in two parts, 3799 and 65952, that added together give a triangular number (69751 = T₃₇₃).

The spelling of 379965952 in words is "three hundred seventy-nine million, nine hundred sixty-five thousand, nine hundred fifty-two".