34361105440 has 96 divisors (see below), whose sum is σ = 82614712320. Its totient is φ = 13502337024.

The previous prime is 34361105423. The next prime is 34361105453. The reversal of 34361105440 is 4450116343.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4101576 + ... + 4109944.

It is an arithmetic number, because the mean of its divisors is an integer number (860569920).

Almost surely, 2^34361105440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34361105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41307356160).

34361105440 is an abundant number, since it is smaller than the sum of its proper divisors (48253606880).

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

34361105440 is a wasteful number, since it uses less digits than its factorization.

34361105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 34361105440 in words is "thirty-four billion, three hundred sixty-one million, one hundred five thousand, four hundred forty".