3537537408 has 128 divisors (see below), whose sum is σ = 10476828000. Its totient is φ = 1175095296.

The previous prime is 3537537407. The next prime is 3537537413. The reversal of 3537537408 is 8047357353.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537537407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093938 + ... + 1097166.

Almost surely, 2^3537537408 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 3537537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238414000).

3537537408 is an abundant number, since it is smaller than the sum of its proper divisors (6939290592).

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

3537537408 is a wasteful number, since it uses less digits than its factorization.

3537537408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 3537537408 is about 59477.2007411243. The cubic root of 3537537408 is about 1523.7030855635.

The spelling of 3537537408 in words is "three billion, five hundred thirty-seven million, five hundred thirty-seven thousand, four hundred eight".