380105811600 has 240 divisors, whose sum is σ = 1223904998400. Its totient is φ = 100838707200.

The previous prime is 380105811599. The next prime is 380105811619. The reversal of 380105811600 is 6118501083.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258398865 + ... + 258400335.

It is an arithmetic number, because the mean of its divisors is an integer number (5099604160).

Almost surely, 2^380105811600 is an apocalyptic number.

380105811600 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 380105811600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611952499200).

380105811600 is an abundant number, since it is smaller than the sum of its proper divisors (843799186800).

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

380105811600 is a wasteful number, since it uses less digits than its factorization.

380105811600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 380105811600 in words is "three hundred eighty billion, one hundred five million, eight hundred eleven thousand, six hundred".