379503576 has 128 divisors (see below), whose sum is σ = 1086624000. Its totient is φ = 122674176.

The previous prime is 379503571. The next prime is 379503583. The reversal of 379503576 is 675305973.

379503576 is a `hidden beast` number, since 3 + 79 + 5 + 0 + 3 + 576 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379503571) 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, 1236015 + ... + 1236321.

It is an arithmetic number, because the mean of its divisors is an integer number (8489250).

Almost surely, 2^379503576 is an apocalyptic number.

379503576 is a gapful number since it is divisible by the number (36) 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 379503576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543312000).

379503576 is an abundant number, since it is smaller than the sum of its proper divisors (707120424).

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

379503576 is a wasteful number, since it uses less digits than its factorization.

379503576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 379503576 is about 19480.8515214300. The cubic root of 379503576 is about 724.0000966596. Note that the first 4 decimals are identical.

The spelling of 379503576 in words is "three hundred seventy-nine million, five hundred three thousand, five hundred seventy-six".