34460706280 has 384 divisors, whose sum is σ = 108860734080. Its totient is φ = 9643898880.

The previous prime is 34460706251. The next prime is 34460706281. The reversal of 34460706280 is 8260706443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (34460706281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10368699 + ... + 10372021.

It is an arithmetic number, because the mean of its divisors is an integer number (283491495).

Almost surely, 2^34460706280 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 34460706280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54430367040).

34460706280 is an abundant number, since it is smaller than the sum of its proper divisors (74400027800).

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

34460706280 is a wasteful number, since it uses less digits than its factorization.

34460706280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 34460706280 in words is "thirty-four billion, four hundred sixty million, seven hundred six thousand, two hundred eighty".