3698775168400 has 225 divisors, whose sum is σ = 9643755577631. Its totient is φ = 1363301422080.

The previous prime is 3698775168337. The next prime is 3698775168409. The reversal of 3698775168400 is 48615778963.

The square root of 3698775168400 is 1923220.

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

It can be written as a sum of positive squares in 22 ways, for example, as 283138923664 + 3415636244736 = 532108^2 + 1848144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3698775168409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6500483316 + ... + 6500483884.

Almost surely, 2^{3698775168400} is an apocalyptic number.

3698775168400 is the 1923220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3698775168400

3698775168400 is an abundant number, since it is smaller than the sum of its proper divisors (5944980409231).

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

3698775168400 is an frugal number, since it uses more digits than its factorization.

3698775168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

Multiplying 3698775168400 by its sum of digits (64), we get a square (236721610777600 = 15385760²).

The spelling of 3698775168400 in words is "three trillion, six hundred ninety-eight billion, seven hundred seventy-five million, one hundred sixty-eight thousand, four hundred".