3394068480 has 672 divisors, whose sum is σ = 13739701248. Its totient is φ = 796262400.

The previous prime is 3394068473. The next prime is 3394068493. The reversal of 3394068480 is 848604933.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109486065 + ... + 109486095.

It is an arithmetic number, because the mean of its divisors is an integer number (20445984).

Almost surely, 2^3394068480 is an apocalyptic number.

3394068480 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 3394068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869850624).

3394068480 is an abundant number, since it is smaller than the sum of its proper divisors (10345632768).

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

3394068480 is an equidigital number, since it uses as much as digits as its factorization.

3394068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3394068480 is about 58258.6343815232. The cubic root of 3394068480 is about 1502.8196563708.

The spelling of 3394068480 in words is "three billion, three hundred ninety-four million, sixty-eight thousand, four hundred eighty".