3918895344400 has 45 divisors (see below), whose sum is σ = 9415241186623. Its totient is φ = 1567542300800.

The previous prime is 3918895344347. The next prime is 3918895344421. The reversal of 3918895344400 is 44435988193.

The square root of 3918895344400 is 1979620.

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 1478101555984 + 2440793788416 = 1215772^2 + 1562304^2 .

It is a super-2 number, since 2×3918895344400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39542910 + ... + 39641890.

Almost surely, 2^{3918895344400} is an apocalyptic number.

3918895344400 is the 1979620-th square number.

It is an amenable number.

3918895344400 is an abundant number, since it is smaller than the sum of its proper divisors (5496345842223).

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

3918895344400 is an frugal number, since it uses more digits than its factorization.

3918895344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197980 (or 98988 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 3918895344400 in words is "three trillion, nine hundred eighteen billion, eight hundred ninety-five million, three hundred forty-four thousand, four hundred".