34864041068640 has 1536 divisors, whose sum is σ = 144883108823040. Its totient is φ = 7666609471488.

The previous prime is 34864041068629. The next prime is 34864041068657. The reversal of 34864041068640 is 4686014046843.

It is a happy number.

34864041068640 is a `hidden beast` number, since 3 + 486 + 4 + 0 + 41 + 0 + 6 + 86 + 40 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15825709779 + ... + 15825711981.

It is an arithmetic number, because the mean of its divisors is an integer number (94324940640).

Almost surely, 2^{34864041068640} is an apocalyptic number.

34864041068640 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 34864041068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72441554411520).

34864041068640 is an abundant number, since it is smaller than the sum of its proper divisors (110019067754400).

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

34864041068640 is a wasteful number, since it uses less digits than its factorization.

34864041068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 34864041068640 in words is "thirty-four trillion, eight hundred sixty-four billion, forty-one million, sixty-eight thousand, six hundred forty".