379381968 has 400 divisors, whose sum is σ = 1382768640. Its totient is φ = 97977600.

The previous prime is 379381931. The next prime is 379382023. The reversal of 379381968 is 869183973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5343373 + ... + 5343443.

Almost surely, 2^379381968 is an apocalyptic number.

379381968 is a gapful number since it is divisible by the number (38) 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 379381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691384320).

379381968 is an abundant number, since it is smaller than the sum of its proper divisors (1003386672).

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

379381968 is a wasteful number, since it uses less digits than its factorization.

379381968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 379381968 is about 19477.7300525498. The cubic root of 379381968 is about 723.9227556144.

The spelling of 379381968 in words is "three hundred seventy-nine million, three hundred eighty-one thousand, nine hundred sixty-eight".