3723973657600 has 297 divisors, whose sum is σ = 10744274053197. Its totient is φ = 1276049940480.

The previous prime is 3723973657571. The next prime is 3723973657631. The reversal of 3723973657600 is 67563793273.

It is a happy number.

The square root of 3723973657600 is 1929760.

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

It can be written as a sum of positive squares in only one way, i.e., 1340630516736 + 2383343140864 = 1157856^2 + 1543808^2 .

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, 2161330339 + ... + 2161332061.

Almost surely, 2^{3723973657600} is an apocalyptic number.

3723973657600 is the 1929760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3723973657600

3723973657600 is an abundant number, since it is smaller than the sum of its proper divisors (7020300395597).

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

3723973657600 is an frugal number, since it uses more digits than its factorization.

3723973657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 58.

The spelling of 3723973657600 in words is "three trillion, seven hundred twenty-three billion, nine hundred seventy-three million, six hundred fifty-seven thousand, six hundred".