379859424 has 192 divisors, whose sum is σ = 1237565952. Its totient is φ = 99532800.

The previous prime is 379859423. The next prime is 379859437. The reversal of 379859424 is 424958973.

It is a super-3 number, since 3×379859424³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379859423) 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, 467979 + ... + 468789.

It is an arithmetic number, because the mean of its divisors is an integer number (6445656).

Almost surely, 2^379859424 is an apocalyptic number.

379859424 is a gapful number since it is divisible by the number (34) 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 379859424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618782976).

379859424 is an abundant number, since it is smaller than the sum of its proper divisors (857706528).

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

379859424 is a wasteful number, since it uses less digits than its factorization.

379859424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 379859424 is about 19489.9826577655. The cubic root of 379859424 is about 724.2263163140.

The spelling of 379859424 in words is "three hundred seventy-nine million, eight hundred fifty-nine thousand, four hundred twenty-four".