3206893008400 has 405 divisors, whose sum is σ = 8593270015701. Its totient is φ = 1149766717440.

The previous prime is 3206893008359. The next prime is 3206893008437. The reversal of 3206893008400 is 48003986023.

The square root of 3206893008400 is 1790780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 39746004496 + 3167147003904 = 199364^2 + 1779648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14003899486 + ... + 14003899714.

Almost surely, 2^{3206893008400} is an apocalyptic number.

3206893008400 is the 1790780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3206893008400

3206893008400 is an abundant number, since it is smaller than the sum of its proper divisors (5386377007301).

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

3206893008400 is a wasteful number, since it uses less digits than its factorization.

3206893008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 3206893008400 in words is "three trillion, two hundred six billion, eight hundred ninety-three million, eight thousand, four hundred".