3537561600 has 360 divisors, whose sum is σ = 13117734630. Its totient is φ = 942243840.

The previous prime is 3537561583. The next prime is 3537561611. The reversal of 3537561600 is 61657353.

It is a happy number.

3537561600 is a `hidden beast` number, since 3 + 5 + 37 + 5 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1696121856 + 1841439744 = 41184^2 + 42912^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 4146774 + ... + 4147626.

Almost surely, 2^3537561600 is an apocalyptic number.

3537561600 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 3537561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558867315).

3537561600 is an abundant number, since it is smaller than the sum of its proper divisors (9580173030).

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

3537561600 is an equidigital number, since it uses as much as digits as its factorization.

3537561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3537561600 is about 59477.4041128225. The cubic root of 3537561600 is about 1523.7065589158.

It can be divided in two parts, 3537561 and 600, that added together give a square (3538161 = 1881²).

The spelling of 3537561600 in words is "three billion, five hundred thirty-seven million, five hundred sixty-one thousand, six hundred".