3982898318400 has 189 divisors, whose sum is σ = 14157012272533. Its totient is φ = 1062042355200.

The previous prime is 3982898318297. The next prime is 3982898318521. The reversal of 3982898318400 is 48138982893.

The square root of 3982898318400 is 1995720.

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

3982898318400 is a `hidden beast` number, since 3 + 98 + 28 + 98 + 31 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1433843394624 + 2549054923776 = 1197432^2 + 1596576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 239478085 + ... + 239494715.

Almost surely, 2^{3982898318400} is an apocalyptic number.

3982898318400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3982898318400 is the 1995720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3982898318400

3982898318400 is an abundant number, since it is smaller than the sum of its proper divisors (10174113954133).

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

3982898318400 is an frugal number, since it uses more digits than its factorization.

3982898318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33290 (or 16641 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 3982898318400 in words is "three trillion, nine hundred eighty-two billion, eight hundred ninety-eight million, three hundred eighteen thousand, four hundred".