3745736500000 has 504 divisors, whose sum is σ = 10249087794372. Its totient is φ = 1346400000000.

The previous prime is 3745736499971. The next prime is 3745736500027. The reversal of 3745736500000 is 56375473.

It can be written as a sum of positive squares in 14 ways, for example, as 3442316201104 + 303420298896 = 1855348^2 + 550836^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6110499694 + ... + 6110500306.

Almost surely, 2^{3745736500000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745736500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124543897186).

3745736500000 is an abundant number, since it is smaller than the sum of its proper divisors (6503351294372).

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

3745736500000 is an equidigital number, since it uses as much as digits as its factorization.

3745736500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 40.

The spelling of 3745736500000 in words is "three trillion, seven hundred forty-five billion, seven hundred thirty-six million, five hundred thousand".