380487457036800 has 2400 divisors, whose sum is σ = 1479697902112320. Its totient is φ = 96436047052800.

The previous prime is 380487457036781. The next prime is 380487457036837. The reversal of 380487457036800 is 8630754784083.

380487457036800 is a `hidden beast` number, since 3 + 8 + 0 + 487 + 4 + 5 + 70 + 3 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 730302220540 + ... + 730302221060.

Almost surely, 2^{380487457036800} is an apocalyptic number.

380487457036800 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 380487457036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739848951056160).

380487457036800 is an abundant number, since it is smaller than the sum of its proper divisors (1099210445075520).

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

380487457036800 is a wasteful number, since it uses less digits than its factorization.

380487457036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 380487457036800 in words is "three hundred eighty trillion, four hundred eighty-seven billion, four hundred fifty-seven million, thirty-six thousand, eight hundred".