34849323264 has 576 divisors, whose sum is σ = 119523962880. Its totient is φ = 8780513280.

The previous prime is 34849323209. The next prime is 34849323307. The reversal of 34849323264 is 46232394843.

It is a super-2 number, since 2×34849323264² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124018804 + ... + 124019084.

It is an arithmetic number, because the mean of its divisors is an integer number (207506880).

Almost surely, 2^34849323264 is an apocalyptic number.

34849323264 is a gapful number since it is divisible by the number (34) 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 34849323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761981440).

34849323264 is an abundant number, since it is smaller than the sum of its proper divisors (84674639616).

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

34849323264 is a wasteful number, since it uses less digits than its factorization.

34849323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 34849323264 in words is "thirty-four billion, eight hundred forty-nine million, three hundred twenty-three thousand, two hundred sixty-four".