380025785704320 has 3072 divisors, whose sum is σ = 1651451258016000. Its totient is φ = 83265095467008.

The previous prime is 380025785704297. The next prime is 380025785704337. The reversal of 380025785704320 is 23407587520083.

380025785704320 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 2 + 5 + 7 + 8 + 570 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 312264408352 + ... + 312264409568.

Almost surely, 2^{380025785704320} is an apocalyptic number.

380025785704320 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 380025785704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825725629008000).

380025785704320 is an abundant number, since it is smaller than the sum of its proper divisors (1271425472311680).

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

380025785704320 is a wasteful number, since it uses less digits than its factorization.

380025785704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 380025785704320 in words is "three hundred eighty trillion, twenty-five billion, seven hundred eighty-five million, seven hundred four thousand, three hundred twenty".