379361520 has 240 divisors, whose sum is σ = 1330789824. Its totient is φ = 96768000.

The previous prime is 379361519. The next prime is 379361527. The reversal of 379361520 is 25163973.

379361520 is a `hidden beast` number, since 3 + 79 + 3 + 61 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379361527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2095830 + ... + 2096010.

Almost surely, 2^379361520 is an apocalyptic number.

379361520 is a gapful number since it is divisible by the number (30) 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 379361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665394912).

379361520 is an abundant number, since it is smaller than the sum of its proper divisors (951428304).

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

379361520 is a wasteful number, since it uses less digits than its factorization.

379361520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 379361520 is about 19477.2051383149. The cubic root of 379361520 is about 723.9097493395.

It can be divided in two parts, 3793615 and 20, that added together give a triangular number (3793635 = T₂₇₅₄).

The spelling of 379361520 in words is "three hundred seventy-nine million, three hundred sixty-one thousand, five hundred twenty".