3340984320 has 560 divisors, whose sum is σ = 12845582640. Its totient is φ = 828112896.

The previous prime is 3340984249. The next prime is 3340984321. The reversal of 3340984320 is 234890433.

It is a happy number.

It is a super-2 number, since 2×3340984320² = 22324352452971724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340984321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63037414 + ... + 63037466.

Almost surely, 2^3340984320 is an apocalyptic number.

3340984320 is a gapful number since it is divisible by the number (30) 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 3340984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422791320).

3340984320 is an abundant number, since it is smaller than the sum of its proper divisors (9504598320).

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

3340984320 is an equidigital number, since it uses as much as digits as its factorization.

3340984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3340984320 is about 57801.2484294241. The cubic root of 3340984320 is about 1494.9436144623.

The spelling of 3340984320 in words is "three billion, three hundred forty million, nine hundred eighty-four thousand, three hundred twenty".