34448097258240 has 144 divisors (see below), whose sum is σ = 110103978348000. Its totient is φ = 9179031371776.

The previous prime is 34448097258193. The next prime is 34448097258241. The reversal of 34448097258240 is 4285279084443.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (34448097258241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469986 + ... + 8429534.

It is an arithmetic number, because the mean of its divisors is an integer number (764610960750).

Almost surely, 2^{34448097258240} is an apocalyptic number.

34448097258240 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 34448097258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55051989174000).

34448097258240 is an abundant number, since it is smaller than the sum of its proper divisors (75655881089760).

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

34448097258240 is a wasteful number, since it uses less digits than its factorization.

34448097258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960862 (or 6960848 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 34448097258240 in words is "thirty-four trillion, four hundred forty-eight billion, ninety-seven million, two hundred fifty-eight thousand, two hundred forty".