379297152 has 384 divisors, whose sum is σ = 1306905600. Its totient is φ = 104509440.

The previous prime is 379297147. The next prime is 379297153. The reversal of 379297152 is 251792973.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×379297152² = 287732659030622208, which contains 22 as substring.

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

Its product of digits (238140) is a multiple of the sum of its prime factors (126).

It is a junction number, because it is equal to n+sod(n) for n = 379297098 and 379297107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379297153) 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, 8820843 + ... + 8820885.

It is an arithmetic number, because the mean of its divisors is an integer number (3403400).

Almost surely, 2^379297152 is an apocalyptic number.

379297152 is a gapful number since it is divisible by the number (32) 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 379297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653452800).

379297152 is an abundant number, since it is smaller than the sum of its proper divisors (927608448).

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

379297152 is a wasteful number, since it uses less digits than its factorization.

379297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 379297152 is about 19475.5526750847. The cubic root of 379297152 is about 723.8688040003.

The spelling of 379297152 in words is "three hundred seventy-nine million, two hundred ninety-seven thousand, one hundred fifty-two".