3346812984 has 128 divisors (see below), whose sum is σ = 9357949440. Its totient is φ = 991997952.

The previous prime is 3346812983. The next prime is 3346813009. The reversal of 3346812984 is 4892186433.

It is a super-2 number, since 2×3346812984² = 22402314299741968512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346812983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776724 + ... + 781020.

It is an arithmetic number, because the mean of its divisors is an integer number (73108980).

Almost surely, 2^3346812984 is an apocalyptic number.

3346812984 is a gapful number since it is divisible by the number (34) 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 3346812984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678974720).

3346812984 is an abundant number, since it is smaller than the sum of its proper divisors (6011136456).

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

3346812984 is a wasteful number, since it uses less digits than its factorization.

3346812984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4425 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 3346812984 is about 57851.6463378528. The cubic root of 3346812984 is about 1495.8124663644.

The spelling of 3346812984 in words is "three billion, three hundred forty-six million, eight hundred twelve thousand, nine hundred eighty-four".