3396004320 has 144 divisors (see below), whose sum is σ = 11364152688. Its totient is φ = 852295680.

The previous prime is 3396004279. The next prime is 3396004321. The reversal of 3396004320 is 234006933.

3396004320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396004321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126480 + ... + 150960.

It is an arithmetic number, because the mean of its divisors is an integer number (78917727).

Almost surely, 2^3396004320 is an apocalyptic number.

3396004320 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 3396004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682076344).

3396004320 is an abundant number, since it is smaller than the sum of its proper divisors (7968148368).

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

3396004320 is a wasteful number, since it uses less digits than its factorization.

3396004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24533 (or 24508 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 3396004320 is about 58275.2462028261. The cubic root of 3396004320 is about 1503.1053180083.

The spelling of 3396004320 in words is "three billion, three hundred ninety-six million, four thousand, three hundred twenty".