34441815540 has 96 divisors (see below), whose sum is σ = 105292172160. Its totient is φ = 8342540800.

The previous prime is 34441815493. The next prime is 34441815599. The reversal of 34441815540 is 4551814443.

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, 789910 + ... + 832370.

It is an arithmetic number, because the mean of its divisors is an integer number (1096793460).

Almost surely, 2^34441815540 is an apocalyptic number.

34441815540 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 34441815540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52646086080).

34441815540 is an abundant number, since it is smaller than the sum of its proper divisors (70850356620).

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

34441815540 is a wasteful number, since it uses less digits than its factorization.

34441815540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43713 (or 43711 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 34441815540 in words is "thirty-four billion, four hundred forty-one million, eight hundred fifteen thousand, five hundred forty".