380902072320 has 2016 divisors, whose sum is σ = 1762116685056. Its totient is φ = 78033715200.

The previous prime is 380902072231. The next prime is 380902072361. The reversal of 380902072320 is 23270209083.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5364817885 + ... + 5364817955.

It is an arithmetic number, because the mean of its divisors is an integer number (874065816).

Almost surely, 2^380902072320 is an apocalyptic number.

380902072320 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 380902072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881058342528).

380902072320 is an abundant number, since it is smaller than the sum of its proper divisors (1381214612736).

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

380902072320 is an equidigital number, since it uses as much as digits as its factorization.

380902072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 380902072320 in words is "three hundred eighty billion, nine hundred two million, seventy-two thousand, three hundred twenty".