3746361544704 has 351 divisors, whose sum is σ = 11514922650283. Its totient is φ = 1173347106816.

The previous prime is 3746361544691. The next prime is 3746361544711. The reversal of 3746361544704 is 4074451636473.

The square root of 3746361544704 is 1935552.

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

3746361544704 is a `hidden beast` number, since 3 + 7 + 4 + 63 + 61 + 54 + 470 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 599001698304 + 3147359846400 = 773952^2 + 1774080^2 .

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, 6317641432 + ... + 6317642024.

Almost surely, 2^{3746361544704} is an apocalyptic number.

3746361544704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3746361544704 is the 1935552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746361544704

3746361544704 is an abundant number, since it is smaller than the sum of its proper divisors (7768561105579).

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

3746361544704 is an frugal number, since it uses more digits than its factorization.

3746361544704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3746361544704 in words is "three trillion, seven hundred forty-six billion, three hundred sixty-one million, five hundred forty-four thousand, seven hundred four".