380677482240 has 1152 divisors, whose sum is σ = 1495321067520. Its totient is φ = 81425203200.

The previous prime is 380677482239. The next prime is 380677482271. The reversal of 380677482240 is 42284776083.

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, 756813829 + ... + 756814331.

It is an arithmetic number, because the mean of its divisors is an integer number (1298021760).

Almost surely, 2^380677482240 is an apocalyptic number.

380677482240 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 380677482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747660533760).

380677482240 is an abundant number, since it is smaller than the sum of its proper divisors (1114643585280).

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

380677482240 is a wasteful number, since it uses less digits than its factorization.

380677482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 380677482240 in words is "three hundred eighty billion, six hundred seventy-seven million, four hundred eighty-two thousand, two hundred forty".