3537691406592 has 864 divisors, whose sum is σ = 11922515297280. Its totient is φ = 926144593920.

The previous prime is 3537691406591. The next prime is 3537691406647. The reversal of 3537691406592 is 2956041967353.

It is a super-2 number, since 2×3537691406592² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3537691406591) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1793050918 + ... + 1793052890.

It is an arithmetic number, because the mean of its divisors is an integer number (13799207520).

Almost surely, 2^{3537691406592} is an apocalyptic number.

3537691406592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3537691406592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961257648640).

3537691406592 is an abundant number, since it is smaller than the sum of its proper divisors (8384823890688).

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

3537691406592 is a wasteful number, since it uses less digits than its factorization.

3537691406592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 60.

The spelling of 3537691406592 in words is "three trillion, five hundred thirty-seven billion, six hundred ninety-one million, four hundred six thousand, five hundred ninety-two".