380027366400 has 528 divisors, whose sum is σ = 1383098618880. Its totient is φ = 91260518400.

The previous prime is 380027366387. The next prime is 380027366413. The reversal of 380027366400 is 4663720083.

It is an interprime number because it is at equal distance from previous prime (380027366387) and next prime (380027366413).

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92081137 + ... + 92085263.

It is an arithmetic number, because the mean of its divisors is an integer number (2619504960).

Almost surely, 2^380027366400 is an apocalyptic number.

380027366400 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 380027366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691549309440).

380027366400 is an abundant number, since it is smaller than the sum of its proper divisors (1003071252480).

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

380027366400 is a wasteful number, since it uses less digits than its factorization.

380027366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 380027366400 in words is "three hundred eighty billion, twenty-seven million, three hundred sixty-six thousand, four hundred".