34506943488 has 440 divisors, whose sum is σ = 107773567440. Its totient is φ = 10988421120.

The previous prime is 34506943483. The next prime is 34506943517. The reversal of 34506943488 is 88434960543.

34506943488 is a `hidden beast` number, since 3 + 4 + 506 + 94 + 3 + 48 + 8 = 666.

It is a super-2 number, since 2×34506943488² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34506943483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248251323 + ... + 248251461.

It is an arithmetic number, because the mean of its divisors is an integer number (244939926).

Almost surely, 2^34506943488 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 34506943488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53886783720).

34506943488 is an abundant number, since it is smaller than the sum of its proper divisors (73266623952).

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

34506943488 is a wasteful number, since it uses less digits than its factorization.

34506943488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 34506943488 in words is "thirty-four billion, five hundred six million, nine hundred forty-three thousand, four hundred eighty-eight".