3537336096 has 480 divisors, whose sum is σ = 12957880320. Its totient is φ = 923788800.

The previous prime is 3537336073. The next prime is 3537336097. The reversal of 3537336096 is 6906337353.

It is a happy number.

3537336096 is a `hidden beast` number, since 3 + 5 + 3 + 7 + 33 + 609 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537336097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10686651 + ... + 10686981.

It is an arithmetic number, because the mean of its divisors is an integer number (26995584).

Almost surely, 2^3537336096 is an apocalyptic number.

3537336096 is a gapful number since it is divisible by the number (36) 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 3537336096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478940160).

3537336096 is an abundant number, since it is smaller than the sum of its proper divisors (9420544224).

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

3537336096 is a wasteful number, since it uses less digits than its factorization.

3537336096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 45.

The square root of 3537336096 is about 59475.5083710934. The cubic root of 3537336096 is about 1523.6741816963.

The spelling of 3537336096 in words is "three billion, five hundred thirty-seven million, three hundred thirty-six thousand, ninety-six".