33745690000 has 225 divisors, whose sum is σ = 90345307591. Its totient is φ = 12197680000.

The previous prime is 33745689983. The next prime is 33745690001. The reversal of 33745690000 is 9654733.

The square root of 33745690000 is 183700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2645662096 + 31100027904 = 51436^2 + 176352^2 .

It is a super-2 number, since 2×33745690000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33745690001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 202069917 + ... + 202070083.

Almost surely, 2^33745690000 is an apocalyptic number.

33745690000 is the 183700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33745690000

33745690000 is an abundant number, since it is smaller than the sum of its proper divisors (56599617591).

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

33745690000 is an equidigital number, since it uses as much as digits as its factorization.

33745690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 33745690000 in words is "thirty-three billion, seven hundred forty-five million, six hundred ninety thousand".