34453985280 has 1152 divisors, whose sum is σ = 140541972480. Its totient is φ = 7136870400.

The previous prime is 34453985197. The next prime is 34453985287. The reversal of 34453985280 is 8258935443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34453985287) 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, 1111418865 + ... + 1111418895.

It is an arithmetic number, because the mean of its divisors is an integer number (121998240).

Almost surely, 2^34453985280 is an apocalyptic number.

34453985280 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 34453985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70270986240).

34453985280 is an abundant number, since it is smaller than the sum of its proper divisors (106087987200).

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

34453985280 is a wasteful number, since it uses less digits than its factorization.

34453985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 34453985280 in words is "thirty-four billion, four hundred fifty-three million, nine hundred eighty-five thousand, two hundred eighty".