34466668992 has 504 divisors, whose sum is σ = 123107013120. Its totient is φ = 9523422720.

The previous prime is 34466668987. The next prime is 34466668997. The reversal of 34466668992 is 29986666443.

It is an interprime number because it is at equal distance from previous prime (34466668987) and next prime (34466668997).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34466668997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23622759 + ... + 23624217.

Almost surely, 2^34466668992 is an apocalyptic number.

34466668992 is a gapful number since it is divisible by the number (32) 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 34466668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61553506560).

34466668992 is an abundant number, since it is smaller than the sum of its proper divisors (88640344128).

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

34466668992 is a wasteful number, since it uses less digits than its factorization.

34466668992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1502 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 34466668992 in words is "thirty-four billion, four hundred sixty-six million, six hundred sixty-eight thousand, nine hundred ninety-two".