34326609408 has 480 divisors, whose sum is σ = 125804448000. Its totient is φ = 9048858624.

The previous prime is 34326609391. The next prime is 34326609409. The reversal of 34326609408 is 80490662343.

34326609408 is a `hidden beast` number, since 3 + 4 + 32 + 6 + 609 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×34326609408² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34326609409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16352743 + ... + 16354841.

It is an arithmetic number, because the mean of its divisors is an integer number (262092600).

Almost surely, 2^34326609408 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 34326609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62902224000).

34326609408 is an abundant number, since it is smaller than the sum of its proper divisors (91477838592).

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

34326609408 is a wasteful number, since it uses less digits than its factorization.

34326609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34326609408 in words is "thirty-four billion, three hundred twenty-six million, six hundred nine thousand, four hundred eight".