3026420074800 has 360 divisors, whose sum is σ = 10897765831680. Its totient is φ = 806581152000.

The previous prime is 3026420074781. The next prime is 3026420074831. The reversal of 3026420074800 is 84700246203.

3026420074800 is a `hidden beast` number, since 3 + 0 + 2 + 642 + 0 + 0 + 7 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189629221 + ... + 189645179.

Almost surely, 2^{3026420074800} is an apocalyptic number.

3026420074800 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 3026420074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448882915840).

3026420074800 is an abundant number, since it is smaller than the sum of its proper divisors (7871345756880).

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

3026420074800 is a wasteful number, since it uses less digits than its factorization.

3026420074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17943 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3026420074800 in words is "three trillion, twenty-six billion, four hundred twenty million, seventy-four thousand, eight hundred".