3397008480 has 192 divisors, whose sum is σ = 11569340160. Its totient is φ = 834914304.

The previous prime is 3397008413. The next prime is 3397008487. The reversal of 3397008480 is 848007933.

It is a super-2 number, since 2×3397008480² = 23079333226383820800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397008487) 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, 332407 + ... + 342473.

It is an arithmetic number, because the mean of its divisors is an integer number (60256980).

Almost surely, 2^3397008480 is an apocalyptic number.

3397008480 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 3397008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784670080).

3397008480 is an abundant number, since it is smaller than the sum of its proper divisors (8172331680).

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

3397008480 is a wasteful number, since it uses less digits than its factorization.

3397008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3397008480 is about 58283.8612310475. The cubic root of 3397008480 is about 1503.2534538125.

The spelling of 3397008480 in words is "three billion, three hundred ninety-seven million, eight thousand, four hundred eighty".