379332800 has 168 divisors, whose sum is σ = 1164092160. Its totient is φ = 118195200.

The previous prime is 379332797. The next prime is 379332803. The reversal of 379332800 is 8233973.

It is an interprime number because it is at equal distance from previous prime (379332797) and next prime (379332803).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379332803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 121661 + ... + 124739.

It is an arithmetic number, because the mean of its divisors is an integer number (6929120).

Almost surely, 2^379332800 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 379332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582046080).

379332800 is an abundant number, since it is smaller than the sum of its proper divisors (784759360).

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

379332800 is a wasteful number, since it uses less digits than its factorization.

379332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 379332800 is about 19476.4678522570. The cubic root of 379332800 is about 723.8914807386.

The spelling of 379332800 in words is "three hundred seventy-nine million, three hundred thirty-two thousand, eight hundred".