3537478560 has 576 divisors, whose sum is σ = 14383764864. Its totient is φ = 728555520.

The previous prime is 3537478559. The next prime is 3537478579. The reversal of 3537478560 is 658747353.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31305064 + ... + 31305176.

It is an arithmetic number, because the mean of its divisors is an integer number (24971814).

Almost surely, 2^3537478560 is an apocalyptic number.

3537478560 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 3537478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191882432).

3537478560 is an abundant number, since it is smaller than the sum of its proper divisors (10846286304).

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

3537478560 is a wasteful number, since it uses less digits than its factorization.

3537478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 3537478560 is about 59476.7060284949. The cubic root of 3537478560 is about 1523.6946364301.

The spelling of 3537478560 in words is "three billion, five hundred thirty-seven million, four hundred seventy-eight thousand, five hundred sixty".