3800840734080 has 1280 divisors, whose sum is σ = 15317034163200. Its totient is φ = 891172896768.

The previous prime is 3800840734079. The next prime is 3800840734109. The reversal of 3800840734080 is 804370480083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5874560317 + ... + 5874560963.

It is an arithmetic number, because the mean of its divisors is an integer number (11966432940).

Almost surely, 2^{3800840734080} is an apocalyptic number.

3800840734080 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 3800840734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658517081600).

3800840734080 is an abundant number, since it is smaller than the sum of its proper divisors (11516193429120).

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

3800840734080 is a wasteful number, since it uses less digits than its factorization.

3800840734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 3800840734080 in words is "three trillion, eight hundred billion, eight hundred forty million, seven hundred thirty-four thousand, eighty".