379727088400 has 135 divisors (see below), whose sum is σ = 1003127932639. Its totient is φ = 138033280000.

The previous prime is 379727088373. The next prime is 379727088449. The reversal of 379727088400 is 4880727973.

The square root of 379727088400 is 616220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6533165584 + 373193922816 = 80828^2 + 610896^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135567000 + ... + 135569800.

Almost surely, 2^379727088400 is an apocalyptic number.

379727088400 is the 616220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379727088400

379727088400 is an abundant number, since it is smaller than the sum of its proper divisors (623400844239).

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

379727088400 is an equidigital number, since it uses as much as digits as its factorization.

379727088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 379727088400 in words is "three hundred seventy-nine billion, seven hundred twenty-seven million, eighty-eight thousand, four hundred".