378047900736 has 567 divisors, whose sum is σ = 1274558324767. Its totient is φ = 107034132480.

The previous prime is 378047900693. The next prime is 378047900749. The reversal of 378047900736 is 637009740873.

It is a happy number.

The square root of 378047900736 is 614856.

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 52874243136 + 325173657600 = 229944^2 + 570240^2 .

It is a Duffinian 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 80 ways as a sum of consecutive naturals, for example, 2759473660 + ... + 2759473796.

Almost surely, 2^378047900736 is an apocalyptic number.

378047900736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

378047900736 is the 614856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378047900736

378047900736 is an abundant number, since it is smaller than the sum of its proper divisors (896510424031).

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

378047900736 is a wasteful number, since it uses less digits than its factorization.

378047900736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 378047900736 in words is "three hundred seventy-eight billion, forty-seven million, nine hundred thousand, seven hundred thirty-six".