3402346720 has 192 divisors, whose sum is σ = 8863948800. Its totient is φ = 1229230080.

The previous prime is 3402346711. The next prime is 3402346793. The reversal of 3402346720 is 276432043.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 7444732 + ... + 7445188.

It is an arithmetic number, because the mean of its divisors is an integer number (46166400).

Almost surely, 2^3402346720 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 3402346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431974400).

3402346720 is an abundant number, since it is smaller than the sum of its proper divisors (5461602080).

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

3402346720 is a wasteful number, since it uses less digits than its factorization.

3402346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 3402346720 is about 58329.6384353615. The cubic root of 3402346720 is about 1504.0404725415.

Adding to 3402346720 its reverse (276432043), we get a palindrome (3678778763).

The spelling of 3402346720 in words is "three billion, four hundred two million, three hundred forty-six thousand, seven hundred twenty".