3573676800 has 216 divisors, whose sum is σ = 13104942480. Its totient is φ = 952934400.

The previous prime is 3573676793. The next prime is 3573676837. The reversal of 3573676800 is 86763753.

3573676800 is a `hidden beast` number, since 3 + 573 + 6 + 76 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162460 + ... + 183140.

It is an arithmetic number, because the mean of its divisors is an integer number (60671030).

Almost surely, 2^3573676800 is an apocalyptic number.

3573676800 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 3573676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552471240).

3573676800 is an abundant number, since it is smaller than the sum of its proper divisors (9531265680).

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

3573676800 is a wasteful number, since it uses less digits than its factorization.

3573676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20716 (or 20691 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3573676800 is about 59780.2375371661. The cubic root of 3573676800 is about 1528.8742199081.

The spelling of 3573676800 in words is "three billion, five hundred seventy-three million, six hundred seventy-six thousand, eight hundred".