3612940800 has 240 divisors, whose sum is σ = 13641156672. Its totient is φ = 825753600.

The previous prime is 3612940769. The next prime is 3612940811. The reversal of 3612940800 is 80492163.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 262080 + ... + 275520.

Almost surely, 2^3612940800 is an apocalyptic number.

3612940800 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 3612940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820578336).

3612940800 is an abundant number, since it is smaller than the sum of its proper divisors (10028215872).

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

3612940800 is a wasteful number, since it uses less digits than its factorization.

3612940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13479 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3612940800 is about 60107.7432615799. The cubic root of 3612940800 is about 1534.4530867161.

The spelling of 3612940800 in words is "three billion, six hundred twelve million, nine hundred forty thousand, eight hundred".