3346142800 has 480 divisors, whose sum is σ = 11050792704. Its totient is φ = 940032000.

The previous prime is 3346142797. The next prime is 3346142831. The reversal of 3346142800 is 82416433.

It is a super-2 number, since 2×3346142800² = 22393343275983680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24424332 + ... + 24424468.

Almost surely, 2^3346142800 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 3346142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525396352).

3346142800 is an abundant number, since it is smaller than the sum of its proper divisors (7704649904).

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

3346142800 is a wasteful number, since it uses less digits than its factorization.

3346142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3346142800 is about 57845.8537840008. The cubic root of 3346142800 is about 1495.7126164965.

The spelling of 3346142800 in words is "three billion, three hundred forty-six million, one hundred forty-two thousand, eight hundred".