34167968640 has 512 divisors, whose sum is σ = 131861520000. Its totient is φ = 8311209984.

The previous prime is 34167968623. The next prime is 34167968669. The reversal of 34167968640 is 4686976143.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19992106 + ... + 19993814.

Almost surely, 2^34167968640 is an apocalyptic number.

34167968640 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 34167968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65930760000).

34167968640 is an abundant number, since it is smaller than the sum of its proper divisors (97693551360).

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

34167968640 is a wasteful number, since it uses less digits than its factorization.

34167968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34167968640 in words is "thirty-four billion, one hundred sixty-seven million, nine hundred sixty-eight thousand, six hundred forty".