380584385664 has 128 divisors (see below), whose sum is σ = 1155654190080. Its totient is φ = 108709340160.

The previous prime is 380584385653. The next prime is 380584385693. The reversal of 380584385664 is 466583485083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×380584385664² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380584385598 and 380584385607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11302357 + ... + 11335979.

It is an arithmetic number, because the mean of its divisors is an integer number (9028548360).

Almost surely, 2^380584385664 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 380584385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577827095040).

380584385664 is an abundant number, since it is smaller than the sum of its proper divisors (775069804416).

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

380584385664 is a wasteful number, since it uses less digits than its factorization.

380584385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37858 (or 37846 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 380584385664 in words is "three hundred eighty billion, five hundred eighty-four million, three hundred eighty-five thousand, six hundred sixty-four".