3402002320 has 40 divisors (see below), whose sum is σ = 7915531320. Its totient is φ = 1359790080.

The previous prime is 3402002309. The next prime is 3402002323. The reversal of 3402002320 is 232002043.

3402002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4511376 + 3397490944 = 2124^2 + 58288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3402002294 and 3402002303.

It is not an unprimeable number, because it can be changed into a prime (3402002323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97630 + ... + 127810.

It is an arithmetic number, because the mean of its divisors is an integer number (197888283).

Almost surely, 2^3402002320 is an apocalyptic number.

It is an amenable number.

3402002320 is an abundant number, since it is smaller than the sum of its proper divisors (4513529000).

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

3402002320 is a wasteful number, since it uses less digits than its factorization.

3402002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31603 (or 31597 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3402002320 is about 58326.6861736547. The cubic root of 3402002320 is about 1503.9897223720.

Adding to 3402002320 its reverse (232002043), we get a palindrome (3634004363).

The spelling of 3402002320 in words is "three billion, four hundred two million, two thousand, three hundred twenty".