380396016000 has 3456 divisors, whose sum is σ = 1941943442400. Its totient is φ = 70447104000.

The previous prime is 380396015999. The next prime is 380396016001. The reversal of 380396016000 is 610693083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380396015999) and next prime (380396016001).

It is a super-2 number, since 2×380396016000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380396016001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13117103986 + ... + 13117104014.

Almost surely, 2^380396016000 is an apocalyptic number.

380396016000 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 380396016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970971721200).

380396016000 is an abundant number, since it is smaller than the sum of its proper divisors (1561547426400).

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

380396016000 is a wasteful number, since it uses less digits than its factorization.

380396016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 380396016000 in words is "three hundred eighty billion, three hundred ninety-six million, sixteen thousand".