3745835093056 has 567 divisors, whose sum is σ = 9785590573941. Its totient is φ = 1418025111552.

The previous prime is 3745835093051. The next prime is 3745835093089. The reversal of 3745835093056 is 6503905385473.

The square root of 3745835093056 is 1935416.

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., 2916307598400 + 829527494656 = 1707720^2 + 910784^2 .

It is not an unprimeable number, because it can be changed into a prime (3745835093051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35007804555 + ... + 35007804661.

Almost surely, 2^{3745835093056} is an apocalyptic number.

3745835093056 is the 1935416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745835093056

3745835093056 is an abundant number, since it is smaller than the sum of its proper divisors (6039755480885).

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

3745835093056 is a wasteful number, since it uses less digits than its factorization.

3745835093056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 58.

The spelling of 3745835093056 in words is "three trillion, seven hundred forty-five billion, eight hundred thirty-five million, ninety-three thousand, fifty-six".