380292062304 has 288 divisors, whose sum is σ = 1341338818176. Its totient is φ = 92966522880.

The previous prime is 380292062299. The next prime is 380292062309. The reversal of 380292062304 is 403260292083.

It is an interprime number because it is at equal distance from previous prime (380292062299) and next prime (380292062309).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380292062309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663487 + ... + 1095809.

It is an arithmetic number, because the mean of its divisors is an integer number (4657426452).

Almost surely, 2^380292062304 is an apocalyptic number.

380292062304 is a gapful number since it is divisible by the number (34) 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 380292062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670669409088).

380292062304 is an abundant number, since it is smaller than the sum of its proper divisors (961046755872).

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

380292062304 is a wasteful number, since it uses less digits than its factorization.

380292062304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432378 (or 432363 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 380292062304 in words is "three hundred eighty billion, two hundred ninety-two million, sixty-two thousand, three hundred four".