378987984400 has 45 divisors (see below), whose sum is σ = 910548214023. Its totient is φ = 151590268800.

The previous prime is 378987984383. The next prime is 378987984407. The reversal of 378987984400 is 4489789873.

The square root of 378987984400 is 615620.

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 70847533584 + 308140450816 = 266172^2 + 555104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (378987984407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12297010 + ... + 12327790.

Almost surely, 2^378987984400 is an apocalyptic number.

378987984400 is the 615620-th square number.

It is an amenable number.

378987984400 is an abundant number, since it is smaller than the sum of its proper divisors (531560229623).

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

378987984400 is an frugal number, since it uses more digits than its factorization.

378987984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61580 (or 30788 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 67.

The spelling of 378987984400 in words is "three hundred seventy-eight billion, nine hundred eighty-seven million, nine hundred eighty-four thousand, four hundred".