3355340800 has 312 divisors, whose sum is σ = 9880573952. Its totient is φ = 1105920000.

The previous prime is 3355340789. The next prime is 3355340827. The reversal of 3355340800 is 80435533.

It is a super-2 number, since 2×3355340800² = 22516623768289280000, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22220725 + ... + 22220875.

Almost surely, 2^3355340800 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 3355340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940286976).

3355340800 is an abundant number, since it is smaller than the sum of its proper divisors (6525233152).

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

3355340800 is a wasteful number, since it uses less digits than its factorization.

3355340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 3355340800 is about 57925.3036245819. The cubic root of 3355340800 is about 1497.0818525510.

The spelling of 3355340800 in words is "three billion, three hundred fifty-five million, three hundred forty thousand, eight hundred".