379253120 has 64 divisors (see below), whose sum is σ = 927804240. Its totient is φ = 148162560.

The previous prime is 379253099. The next prime is 379253123. The reversal of 379253120 is 21352973.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379253123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20630 + ... + 34410.

Almost surely, 2^379253120 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 379253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463902120).

379253120 is an abundant number, since it is smaller than the sum of its proper divisors (548551120).

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

379253120 is a wasteful number, since it uses less digits than its factorization.

379253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13843 (or 13831 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 379253120 is about 19474.4221993876. The cubic root of 379253120 is about 723.8407919922.

The spelling of 379253120 in words is "three hundred seventy-nine million, two hundred fifty-three thousand, one hundred twenty".