3745657036900 has 81 divisors (see below), whose sum is σ = 8212125751641. Its totient is φ = 1482926942880.

The previous prime is 3745657036889. The next prime is 3745657036967. The reversal of 3745657036900 is 96307565473.

The square root of 3745657036900 is 1935370.

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., 1348436533284 + 2397220503616 = 1161222^2 + 1548296^2 .

It is a super-2 number, since 2×3745657036900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1993430161 + ... + 1993432039.

Almost surely, 2^{3745657036900} is an apocalyptic number.

3745657036900 is the 1935370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745657036900

3745657036900 is an abundant number, since it is smaller than the sum of its proper divisors (4466468714741).

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

3745657036900 is an equidigital number, since it uses as much as digits as its factorization.

3745657036900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 55.

It can be divided in two parts, 37456570 and 36900, that added together give a triangular number (37493470 = T₈₆₅₉).

The spelling of 3745657036900 in words is "three trillion, seven hundred forty-five billion, six hundred fifty-seven million, thirty-six thousand, nine hundred".