3334838431716 has 405 divisors, whose sum is σ = 10042302571609. Its totient is φ = 964209312000.

The previous prime is 3334838431703. The next prime is 3334838431721. The reversal of 3334838431716 is 6171348384333.

The square root of 3334838431716 is 1826154.

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

3334838431716 is a `hidden beast` number, since 33 + 34 + 83 + 8 + 431 + 71 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3301656166116 + 33182265600 = 1817046^2 + 182160^2 .

It is a super-2 number, since 2×3334838431716² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8316305116 + ... + 8316305516.

Almost surely, 2^{3334838431716} is an apocalyptic number.

3334838431716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3334838431716 is the 1826154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334838431716

3334838431716 is an abundant number, since it is smaller than the sum of its proper divisors (6707464139893).

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

3334838431716 is a wasteful number, since it uses less digits than its factorization.

3334838431716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 440 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

It can be divided in two parts, 33348384317 and 16, that added together give a palindrome (33348384333).

The spelling of 3334838431716 in words is "three trillion, three hundred thirty-four billion, eight hundred thirty-eight million, four hundred thirty-one thousand, seven hundred sixteen".