3537264960 has 336 divisors, whose sum is σ = 12933273600. Its totient is φ = 884846592.

The previous prime is 3537264949. The next prime is 3537265001. The reversal of 3537264960 is 694627353.

3537264960 is a `hidden beast` number, since 3 + 537 + 26 + 4 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6949186 + ... + 6949694.

Almost surely, 2^3537264960 is an apocalyptic number.

3537264960 is a gapful number since it is divisible by the number (30) 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 3537264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466636800).

3537264960 is an abundant number, since it is smaller than the sum of its proper divisors (9396008640).

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

3537264960 is a wasteful number, since it uses less digits than its factorization.

3537264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3537264960 is about 59474.9103404116. The cubic root of 3537264960 is about 1523.6639679073.

The spelling of 3537264960 in words is "three billion, five hundred thirty-seven million, two hundred sixty-four thousand, nine hundred sixty".