3348991008 has 336 divisors, whose sum is σ = 11158463232. Its totient is φ = 979776000.

The previous prime is 3348990979. The next prime is 3348991049. The reversal of 3348991008 is 8001998433.

It is a super-2 number, since 2×3348991008² = 22431481543329712128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7954638 + ... + 7955058.

It is an arithmetic number, because the mean of its divisors is an integer number (33209712).

Almost surely, 2^3348991008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3348991008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579231616).

3348991008 is an abundant number, since it is smaller than the sum of its proper divisors (7809472224).

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

3348991008 is a wasteful number, since it uses less digits than its factorization.

3348991008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3348991008 is about 57870.4674942237. The cubic root of 3348991008 is about 1496.1368753866.

The spelling of 3348991008 in words is "three billion, three hundred forty-eight million, nine hundred ninety-one thousand, eight".