3646870800 has 240 divisors, whose sum is σ = 12264512640. Its totient is φ = 924549120.

The previous prime is 3646870793. The next prime is 3646870813. The reversal of 3646870800 is 80786463.

3646870800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6320112 + ... + 6320688.

It is an arithmetic number, because the mean of its divisors is an integer number (51102136).

Almost surely, 2^3646870800 is an apocalyptic number.

3646870800 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 3646870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132256320).

3646870800 is an abundant number, since it is smaller than the sum of its proper divisors (8617641840).

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

3646870800 is a wasteful number, since it uses less digits than its factorization.

3646870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3646870800 is about 60389.3268715590. The cubic root of 3646870800 is about 1539.2416010507.

The spelling of 3646870800 in words is "three billion, six hundred forty-six million, eight hundred seventy thousand, eight hundred".