34839037440 has 320 divisors, whose sum is σ = 125863372800. Its totient is φ = 9131876352.

The previous prime is 34839037433. The next prime is 34839037463. The reversal of 34839037440 is 4473093843.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4073809 + ... + 4082351.

It is an arithmetic number, because the mean of its divisors is an integer number (393323040).

Almost surely, 2^34839037440 is an apocalyptic number.

34839037440 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 34839037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62931686400).

34839037440 is an abundant number, since it is smaller than the sum of its proper divisors (91024335360).

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

34839037440 is an equidigital number, since it uses as much as digits as its factorization.

34839037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34839037440 in words is "thirty-four billion, eight hundred thirty-nine million, thirty-seven thousand, four hundred forty".