3003422826240 has 216 divisors, whose sum is σ = 10498663204848. Its totient is φ = 792655626240.

The previous prime is 3003422826223. The next prime is 3003422826251. The reversal of 3003422826240 is 426282243003.

3003422826240 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 4 + 2 + 28 + 2 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3003422826195 and 3003422826204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226446 + ... + 2461325.

Almost surely, 2^{3003422826240} is an apocalyptic number.

3003422826240 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 3003422826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249331602424).

3003422826240 is an abundant number, since it is smaller than the sum of its proper divisors (7495240378608).

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

3003422826240 is a wasteful number, since it uses less digits than its factorization.

3003422826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687895 (or 2687878 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 3003422826240 in words is "three trillion, three billion, four hundred twenty-two million, eight hundred twenty-six thousand, two hundred forty".