3199433380416 has 1225 divisors, whose sum is σ = 12030158173951. Its totient is φ = 843806605824.

The previous prime is 3199433380411. The next prime is 3199433380417. The reversal of 3199433380416 is 6140833349913.

The square root of 3199433380416 is 1788696.

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

3199433380416 is a `hidden beast` number, since 3 + 1 + 99 + 433 + 3 + 80 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1586330174016 + 1613103206400 = 1259496^2 + 1270080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3199433380416 = 3588³ + 14664³ = 9828³ + 13104³.

It is not an unprimeable number, because it can be changed into a prime (3199433380411) by changing a digit.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 246110260026 + ... + 246110260038.

Almost surely, 2^{3199433380416} is an apocalyptic number.

3199433380416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3199433380416 is the 1788696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3199433380416

3199433380416 is an abundant number, since it is smaller than the sum of its proper divisors (8830724793535).

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

3199433380416 is an frugal number, since it uses more digits than its factorization.

3199433380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3199433380416 in words is "three trillion, one hundred ninety-nine billion, four hundred thirty-three million, three hundred eighty thousand, four hundred sixteen".