379672640 has 112 divisors (see below), whose sum is σ = 944758080. Its totient is φ = 145152000.

The previous prime is 379672613. The next prime is 379672681. The reversal of 379672640 is 46276973.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 379672591 and 379672600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512515 + ... + 1512765.

It is an arithmetic number, because the mean of its divisors is an integer number (8435340).

Almost surely, 2^379672640 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 379672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472379040).

379672640 is an abundant number, since it is smaller than the sum of its proper divisors (565085440).

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

379672640 is a wasteful number, since it uses less digits than its factorization.

379672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 379672640 is about 19485.1902736412. The cubic root of 379672640 is about 724.1075916332.

The spelling of 379672640 in words is "three hundred seventy-nine million, six hundred seventy-two thousand, six hundred forty".