34164064440 has 192 divisors, whose sum is σ = 125174599200. Its totient is φ = 8282165760.

The previous prime is 34164064391. The next prime is 34164064447. The reversal of 34164064440 is 4446046143.

34164064440 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 4 + 0 + 644 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34164064395 and 34164064404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164064447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37 + ... + 261396.

Almost surely, 2^34164064440 is an apocalyptic number.

34164064440 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 34164064440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62587299600).

34164064440 is an abundant number, since it is smaller than the sum of its proper divisors (91010534760).

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

34164064440 is a wasteful number, since it uses less digits than its factorization.

34164064440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261475 (or 261454 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34164064440 in words is "thirty-four billion, one hundred sixty-four million, sixty-four thousand, four hundred forty".