34814532480 has 512 divisors, whose sum is σ = 141310310400. Its totient is φ = 7091159040.

The previous prime is 34814532353. The next prime is 34814532491. The reversal of 34814532480 is 8423541843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5063445 + ... + 5070315.

It is an arithmetic number, because the mean of its divisors is an integer number (275996700).

Almost surely, 2^34814532480 is an apocalyptic number.

34814532480 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 34814532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70655155200).

34814532480 is an abundant number, since it is smaller than the sum of its proper divisors (106495777920).

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

34814532480 is a wasteful number, since it uses less digits than its factorization.

34814532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 34814532480 in words is "thirty-four billion, eight hundred fourteen million, five hundred thirty-two thousand, four hundred eighty".