3702468672400 has 405 divisors, whose sum is σ = 9608748135091. Its totient is φ = 1370878192640.

The previous prime is 3702468672379. The next prime is 3702468672403. The reversal of 3702468672400 is 42768642073.

The square root of 3702468672400 is 1924180.

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 770483683984 + 2931984988416 = 877772^2 + 1712304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3702468672403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41600771556 + ... + 41600771644.

Almost surely, 2^{3702468672400} is an apocalyptic number.

3702468672400 is the 1924180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3702468672400

3702468672400 is an abundant number, since it is smaller than the sum of its proper divisors (5906279462691).

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

3702468672400 is an equidigital number, since it uses as much as digits as its factorization.

3702468672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

Multiplying 3702468672400 by its sum of digits (49), we get a square (181420964947600 = 13469260²).

The spelling of 3702468672400 in words is "three trillion, seven hundred two billion, four hundred sixty-eight million, six hundred seventy-two thousand, four hundred".