3340313088 has 320 divisors, whose sum is σ = 10889303040. Its totient is φ = 888717312.

The previous prime is 3340313087. The next prime is 3340313101. The reversal of 3340313088 is 8803130433.

It is a super-2 number, since 2×3340313088² = 22315383051728191488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340313087) 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, 16955806 + ... + 16956002.

It is an arithmetic number, because the mean of its divisors is an integer number (34029072).

Almost surely, 2^3340313088 is an apocalyptic number.

3340313088 is a gapful number since it is divisible by the number (38) 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 3340313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444651520).

3340313088 is an abundant number, since it is smaller than the sum of its proper divisors (7548989952).

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

3340313088 is a wasteful number, since it uses less digits than its factorization.

3340313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3340313088 is about 57795.4417579795. The cubic root of 3340313088 is about 1494.8434921526.

The spelling of 3340313088 in words is "three billion, three hundred forty million, three hundred thirteen thousand, eighty-eight".