34843534899264 has 1344 divisors, whose sum is σ = 135307299778560. Its totient is φ = 8309336555520.

The previous prime is 34843534899263. The next prime is 34843534899293. The reversal of 34843534899264 is 46299843534843.

It is a happy number.

34843534899264 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 3 + 53 + 489 + 92 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34843534899192 and 34843534899201.

It is not an unprimeable number, because it can be changed into a prime (34843534899263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12758524779 + ... + 12758527509.

It is an arithmetic number, because the mean of its divisors is an integer number (100675074240).

Almost surely, 2^{34843534899264} 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 34843534899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67653649889280).

34843534899264 is an abundant number, since it is smaller than the sum of its proper divisors (100463764879296).

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

34843534899264 is a wasteful number, since it uses less digits than its factorization.

34843534899264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3355 counting only the distinct ones).

The product of its digits is 2149908480, while the sum is 72.

The spelling of 34843534899264 in words is "thirty-four trillion, eight hundred forty-three billion, five hundred thirty-four million, eight hundred ninety-nine thousand, two hundred sixty-four".