3389982358716 has 288 divisors, whose sum is σ = 9358394572800. Its totient is φ = 1031917985280.

The previous prime is 3389982358619. The next prime is 3389982358757. The reversal of 3389982358716 is 6178532899833.

It is a happy number.

3389982358716 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 9 + 8 + 23 + 587 + 16 = 666.

It is a super-2 number, since 2×3389982358716² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1662570025 + ... + 1662572063.

It is an arithmetic number, because the mean of its divisors is an integer number (32494425600).

Almost surely, 2^{3389982358716} is an apocalyptic number.

3389982358716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3389982358716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679197286400).

3389982358716 is an abundant number, since it is smaller than the sum of its proper divisors (5968412214084).

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

3389982358716 is a wasteful number, since it uses less digits than its factorization.

3389982358716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3244 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 3389982358716 in words is "three trillion, three hundred eighty-nine billion, nine hundred eighty-two million, three hundred fifty-eight thousand, seven hundred sixteen".