379742496 has 96 divisors (see below), whose sum is σ = 1154982528. Its totient is φ = 106997760.

The previous prime is 379742483. The next prime is 379742497. The reversal of 379742496 is 694247973.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (379742497) 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 15 ways as a sum of consecutive naturals, for example, 45186 + ... + 52926.

It is an arithmetic number, because the mean of its divisors is an integer number (12031068).

Almost surely, 2^379742496 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 379742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577491264).

379742496 is an abundant number, since it is smaller than the sum of its proper divisors (775240032).

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

379742496 is a wasteful number, since it uses less digits than its factorization.

379742496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834 (or 7826 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 379742496 is about 19486.9827320701. The cubic root of 379742496 is about 724.1519984481.

It can be divided in two parts, 37974 and 2496, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 379742496 in words is "three hundred seventy-nine million, seven hundred forty-two thousand, four hundred ninety-six".