380686628400 has 360 divisors, whose sum is σ = 1342177974576. Its totient is φ = 92168294400.

The previous prime is 380686628347. The next prime is 380686628423. The reversal of 380686628400 is 4826686083.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 12355414 + ... + 12386186.

Almost surely, 2^380686628400 is an apocalyptic number.

380686628400 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 380686628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671088987288).

380686628400 is an abundant number, since it is smaller than the sum of its proper divisors (961491346176).

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

380686628400 is a wasteful number, since it uses less digits than its factorization.

380686628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30881 (or 30857 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 380686628400 in words is "three hundred eighty billion, six hundred eighty-six million, six hundred twenty-eight thousand, four hundred".