380365409600 has 168 divisors, whose sum is σ = 1044768556128. Its totient is φ = 135097804800.

The previous prime is 380365409581. The next prime is 380365409609. The reversal of 380365409600 is 6904563083.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380365409609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 505502 + ... + 1008098.

Almost surely, 2^380365409600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380365409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522384278064).

380365409600 is an abundant number, since it is smaller than the sum of its proper divisors (664403146528).

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

380365409600 is a wasteful number, since it uses less digits than its factorization.

380365409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502673 (or 502658 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 380365409600 in words is "three hundred eighty billion, three hundred sixty-five million, four hundred nine thousand, six hundred".