379504356 has 96 divisors (see below), whose sum is σ = 1139712000. Its totient is φ = 95385600.

The previous prime is 379504351. The next prime is 379504361. The reversal of 379504356 is 653405973.

It is an interprime number because it is at equal distance from previous prime (379504351) and next prime (379504361).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (379504351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22020 + ... + 35268.

It is an arithmetic number, because the mean of its divisors is an integer number (11872000).

Almost surely, 2^379504356 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 379504356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569856000).

379504356 is an abundant number, since it is smaller than the sum of its proper divisors (760207644).

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

379504356 is a wasteful number, since it uses less digits than its factorization.

379504356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13305 (or 13303 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 379504356 is about 19480.8715410784. The cubic root of 379504356 is about 724.0005926758. Note that the first 3 decimals are identical.

The spelling of 379504356 in words is "three hundred seventy-nine million, five hundred four thousand, three hundred fifty-six".