34491212640 has 240 divisors, whose sum is σ = 125924032080. Its totient is φ = 8880399360.

The previous prime is 34491212633. The next prime is 34491212659. The reversal of 34491212640 is 4621219443.

34491212640 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 1 + 2 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 34491212595 and 34491212604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329955 + ... + 421725.

It is an arithmetic number, because the mean of its divisors is an integer number (524683467).

Almost surely, 2^34491212640 is an apocalyptic number.

34491212640 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 34491212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62962016040).

34491212640 is an abundant number, since it is smaller than the sum of its proper divisors (91432819440).

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

34491212640 is a wasteful number, since it uses less digits than its factorization.

34491212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91827 (or 91810 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34491212640 in words is "thirty-four billion, four hundred ninety-one million, two hundred twelve thousand, six hundred forty".