382369680 has 640 divisors, whose sum is σ = 1742745600. Its totient is φ = 75271680.

The previous prime is 382369667. The next prime is 382369697. The reversal of 382369680 is 86963283.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20124711 + ... + 20124729.

It is an arithmetic number, because the mean of its divisors is an integer number (2723040).

Almost surely, 2^382369680 is an apocalyptic number.

382369680 is a gapful number since it is divisible by the number (30) 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 382369680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871372800).

382369680 is an abundant number, since it is smaller than the sum of its proper divisors (1360375920).

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

382369680 is a wasteful number, since it uses less digits than its factorization.

382369680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 382369680 is about 19554.2752358659. The cubic root of 382369680 is about 725.8181362649.

The spelling of 382369680 in words is "three hundred eighty-two million, three hundred sixty-nine thousand, six hundred eighty".