380399616 has 156 divisors (see below), whose sum is σ = 1165349952. Its totient is φ = 119144448.

The previous prime is 380399587. The next prime is 380399639. The reversal of 380399616 is 616993083.

380399616 = 469² + 470² + ... + 1075².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626385 + ... + 626991.

It is an arithmetic number, because the mean of its divisors is an integer number (7470192).

Almost surely, 2^380399616 is an apocalyptic number.

380399616 is a gapful number since it is divisible by the number (36) 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 380399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582674976).

380399616 is an abundant number, since it is smaller than the sum of its proper divisors (784950336).

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

380399616 is a wasteful number, since it uses less digits than its factorization.

380399616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 380399616 is about 19503.8359304010. The cubic root of 380399616 is about 724.5694572534.

The spelling of 380399616 in words is "three hundred eighty million, three hundred ninety-nine thousand, six hundred sixteen".