3431333892996 has 81 divisors (see below), whose sum is σ = 9154747568421. Its totient is φ = 1083512438208.

The previous prime is 3431333892989. The next prime is 3431333892997. The reversal of 3431333892996 is 6992983331343.

It is a happy number.

The square root of 3431333892996 is 1852386.

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

3431333892996 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 3 + 338 + 9 + 299 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2047228702596 + 1384105190400 = 1430814^2 + 1176480^2 .

It is not an unprimeable number, because it can be changed into a prime (3431333892997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 211163880 + ... + 211180128.

Almost surely, 2^{3431333892996} is an apocalyptic number.

3431333892996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3431333892996 is the 1852386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431333892996

3431333892996 is an abundant number, since it is smaller than the sum of its proper divisors (5723413675425).

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

3431333892996 is an equidigital number, since it uses as much as digits as its factorization.

3431333892996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32546 (or 16273 counting only the distinct ones).

The product of its digits is 68024448, while the sum is 63.

The spelling of 3431333892996 in words is "three trillion, four hundred thirty-one billion, three hundred thirty-three million, eight hundred ninety-two thousand, nine hundred ninety-six".