3451442800 has 120 divisors (see below), whose sum is σ = 8958426624. Its totient is φ = 1270318080.

The previous prime is 3451442789. The next prime is 3451442861. The reversal of 3451442800 is 82441543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1990734 + ... + 1992466.

Almost surely, 2^3451442800 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 3451442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479213312).

3451442800 is an abundant number, since it is smaller than the sum of its proper divisors (5506983824).

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

3451442800 is a wasteful number, since it uses less digits than its factorization.

3451442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 3451442800 is about 58748.9812677633. The cubic root of 3451442800 is about 1511.2404175361.

The spelling of 3451442800 in words is "three billion, four hundred fifty-one million, four hundred forty-two thousand, eight hundred".