380709307643904 has 288 divisors, whose sum is σ = 1166801029954560. Its totient is φ = 123951860637696.

The previous prime is 380709307643893. The next prime is 380709307643923. The reversal of 380709307643904 is 409346703907083.

380709307643904 is a `hidden beast` number, since 3 + 80 + 70 + 9 + 30 + 76 + 4 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×380709307643904² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12504289 + ... + 30294815.

It is an arithmetic number, because the mean of its divisors is an integer number (4051392465120).

Almost surely, 2^{380709307643904} 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 380709307643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583400514977280).

380709307643904 is an abundant number, since it is smaller than the sum of its proper divisors (786091722310656).

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

380709307643904 is an equidigital number, since it uses as much as digits as its factorization.

380709307643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17790607 (or 17790575 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 380709307643904 in words is "three hundred eighty trillion, seven hundred nine billion, three hundred seven million, six hundred forty-three thousand, nine hundred four".