3199853664 has 216 divisors, whose sum is σ = 10648205568. Its totient is φ = 908812800.

The previous prime is 3199853659. The next prime is 3199853677. The reversal of 3199853664 is 4663589913.

3199853664 is a `hidden beast` number, since 3 + 19 + 98 + 536 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3199853664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2779489 + ... + 2780639.

It is an arithmetic number, because the mean of its divisors is an integer number (49297248).

Almost surely, 2^3199853664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3199853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324102784).

3199853664 is an abundant number, since it is smaller than the sum of its proper divisors (7448351904).

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

3199853664 is a wasteful number, since it uses less digits than its factorization.

3199853664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1360 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 3199853664 is about 56567.2490404121. The cubic root of 3199853664 is about 1473.5901363457.

The spelling of 3199853664 in words is "three billion, one hundred ninety-nine million, eight hundred fifty-three thousand, six hundred sixty-four".