3600676800 has 756 divisors, whose sum is σ = 15497606800. Its totient is φ = 823011840.

The previous prime is 3600676787. The next prime is 3600676817. The reversal of 3600676800 is 86760063.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 514382397 + ... + 514382403.

Almost surely, 2^3600676800 is an apocalyptic number.

3600676800 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 3600676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7748803400).

3600676800 is an abundant number, since it is smaller than the sum of its proper divisors (11896930000).

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

3600676800 is an frugal number, since it uses more digits than its factorization.

3600676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3600676800 is about 60005.6397349449. The cubic root of 3600676800 is about 1532.7149028845.

Multiplying 3600676800 by its product of nonzero digits (36288), we get a square (130661359718400 = 11430720²).

3600676800 divided by its product of nonzero digits (36288) gives a square (99225 = 315²).

The spelling of 3600676800 in words is "three billion, six hundred million, six hundred seventy-six thousand, eight hundred".