34253817468 has 96 divisors (see below), whose sum is σ = 87483110400. Its totient is φ = 10368148224.

The previous prime is 34253817449. The next prime is 34253817473. The reversal of 34253817468 is 86471835243.

It is a happy number.

It is a super-2 number, since 2×34253817468² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34253817468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3089038 + ... + 3100106.

It is an arithmetic number, because the mean of its divisors is an integer number (911282400).

Almost surely, 2^34253817468 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 34253817468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43741555200).

34253817468 is an abundant number, since it is smaller than the sum of its proper divisors (53229292932).

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

34253817468 is a wasteful number, since it uses less digits than its factorization.

34253817468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11411 (or 11409 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 34253817468 in words is "thirty-four billion, two hundred fifty-three million, eight hundred seventeen thousand, four hundred sixty-eight".