3357426800 has 120 divisors (see below), whose sum is σ = 9927760416. Its totient is φ = 1062558720.

The previous prime is 3357426769. The next prime is 3357426803. The reversal of 3357426800 is 86247533.

It is a super-2 number, since 2×3357426800² = 22544629434716480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357426803) 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, 9719 + ... + 82518.

Almost surely, 2^3357426800 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 3357426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963880208).

3357426800 is an abundant number, since it is smaller than the sum of its proper divisors (6570333616).

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

3357426800 is a wasteful number, since it uses less digits than its factorization.

3357426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92275 (or 92264 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 3357426800 is about 57943.3067748122. The cubic root of 3357426800 is about 1497.3920312569.

The spelling of 3357426800 in words is "three billion, three hundred fifty-seven million, four hundred twenty-six thousand, eight hundred".