3398656480 has 192 divisors, whose sum is σ = 8639447040. Its totient is φ = 1261209600.

The previous prime is 3398656477. The next prime is 3398656529. The reversal of 3398656480 is 846568933.

It is a super-3 number, since 3×3398656480³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14220201 + ... + 14220439.

It is an arithmetic number, because the mean of its divisors is an integer number (44997120).

Almost surely, 2^3398656480 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 3398656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319723520).

3398656480 is an abundant number, since it is smaller than the sum of its proper divisors (5240790560).

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

3398656480 is a wasteful number, since it uses less digits than its factorization.

3398656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The square root of 3398656480 is about 58297.9972211739. The cubic root of 3398656480 is about 1503.4965069967.

The spelling of 3398656480 in words is "three billion, three hundred ninety-eight million, six hundred fifty-six thousand, four hundred eighty".