3354716800 has 96 divisors (see below), whose sum is σ = 8411425920. Its totient is φ = 1321774080.

The previous prime is 3354716789. The next prime is 3354716803. The reversal of 3354716800 is 86174533.

3354716800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3354716800² = 22508249616404480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3354716800.

It is not an unprimeable number, because it can be changed into a prime (3354716803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206577 + ... + 222223.

It is an arithmetic number, because the mean of its divisors is an integer number (87619020).

Almost surely, 2^3354716800 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 3354716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205712960).

3354716800 is an abundant number, since it is smaller than the sum of its proper divisors (5056709120).

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

3354716800 is a wasteful number, since it uses less digits than its factorization.

3354716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15738 (or 15721 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 3354716800 is about 57919.9171270125. The cubic root of 3354716800 is about 1496.9890416119.

The spelling of 3354716800 in words is "three billion, three hundred fifty-four million, seven hundred sixteen thousand, eight hundred".