3696537600 has 624 divisors, whose sum is σ = 15600906240. Its totient is φ = 840499200.

The previous prime is 3696537589. The next prime is 3696537617. The reversal of 3696537600 is 67356963.

3696537600 is a `hidden beast` number, since 3 + 6 + 9 + 6 + 5 + 37 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19353505 + ... + 19353695.

Almost surely, 2^3696537600 is an apocalyptic number.

3696537600 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 3696537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800453120).

3696537600 is an abundant number, since it is smaller than the sum of its proper divisors (11904368640).

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

3696537600 is a wasteful number, since it uses less digits than its factorization.

3696537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 3696537600 is about 60799.1578889050. The cubic root of 3696537600 is about 1546.1977703991.

The spelling of 3696537600 in words is "three billion, six hundred ninety-six million, five hundred thirty-seven thousand, six hundred".