3001436802000 has 5120 divisors, whose sum is σ = 15474209587200. Its totient is φ = 537477120000.

The previous prime is 3001436801999. The next prime is 3001436802113. The reversal of 3001436802000 is 2086341003.

It is a happy number.

3001436802000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 49203881970 + ... + 49203882030.

It is an arithmetic number, because the mean of its divisors is an integer number (3022306560).

Almost surely, 2^{3001436802000} is an apocalyptic number.

3001436802000 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 3001436802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737104793600).

3001436802000 is an abundant number, since it is smaller than the sum of its proper divisors (12472772785200).

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

3001436802000 is a wasteful number, since it uses less digits than its factorization.

3001436802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 3001436802000 in words is "three trillion, one billion, four hundred thirty-six million, eight hundred two thousand".