3349459976616 has 512 divisors, whose sum is σ = 10820232460800. Its totient is φ = 962746933248.

The previous prime is 3349459976557. The next prime is 3349459976647. The reversal of 3349459976616 is 6166799549433.

3349459976616 is a `hidden beast` number, since 3 + 3 + 49 + 459 + 9 + 76 + 61 + 6 = 666.

It is a super-2 number, since 2×3349459976616² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529723231 + ... + 529729553.

It is an arithmetic number, because the mean of its divisors is an integer number (21133266525).

Almost surely, 2^{3349459976616} is an apocalyptic number.

3349459976616 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 3349459976616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410116230400).

3349459976616 is an abundant number, since it is smaller than the sum of its proper divisors (7470772484184).

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

3349459976616 is a wasteful number, since it uses less digits than its factorization.

3349459976616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517 (or 6495 counting only the distinct ones).

The product of its digits is 793618560, while the sum is 72.

The spelling of 3349459976616 in words is "three trillion, three hundred forty-nine billion, four hundred fifty-nine million, nine hundred seventy-six thousand, six hundred sixteen".