3537863436576 has 288 divisors, whose sum is σ = 10869422659200. Its totient is φ = 1004626022400.

The previous prime is 3537863436571. The next prime is 3537863436587. The reversal of 3537863436576 is 6756343687353.

It is a super-2 number, since 2×3537863436576² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3537863436571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236581386 + ... + 1236584246.

It is an arithmetic number, because the mean of its divisors is an integer number (37741050900).

Almost surely, 2^{3537863436576} 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 3537863436576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434711329600).

3537863436576 is an abundant number, since it is smaller than the sum of its proper divisors (7331559222624).

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

3537863436576 is a wasteful number, since it uses less digits than its factorization.

3537863436576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4393 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 66.

The spelling of 3537863436576 in words is "three trillion, five hundred thirty-seven billion, eight hundred sixty-three million, four hundred thirty-six thousand, five hundred seventy-six".