3046420249200 has 480 divisors, whose sum is σ = 10907028334080. Its totient is φ = 807596697600.

The previous prime is 3046420249189. The next prime is 3046420249237. The reversal of 3046420249200 is 29420246403.

3046420249200 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 420 + 24 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1708591509 + ... + 1708593291.

It is an arithmetic number, because the mean of its divisors is an integer number (22722975696).

Almost surely, 2^{3046420249200} is an apocalyptic number.

3046420249200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3046420249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453514167040).

3046420249200 is an abundant number, since it is smaller than the sum of its proper divisors (7860608084880).

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

3046420249200 is a wasteful number, since it uses less digits than its factorization.

3046420249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3046420249200 in words is "three trillion, forty-six billion, four hundred twenty million, two hundred forty-nine thousand, two hundred".