34886484864 has 640 divisors, whose sum is σ = 131160902400. Its totient is φ = 8941363200.

The previous prime is 34886484833. The next prime is 34886484883. The reversal of 34886484864 is 46848468843.

34886484864 is a `hidden beast` number, since 34 + 8 + 86 + 48 + 486 + 4 = 666.

It is a super-2 number, since 2×34886484864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71051659 + ... + 71052149.

It is an arithmetic number, because the mean of its divisors is an integer number (204938910).

Almost surely, 2^34886484864 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 34886484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65580451200).

34886484864 is an abundant number, since it is smaller than the sum of its proper divisors (96274417536).

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

34886484864 is a wasteful number, since it uses less digits than its factorization.

34886484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its digits is 113246208, while the sum is 63.

The spelling of 34886484864 in words is "thirty-four billion, eight hundred eighty-six million, four hundred eighty-four thousand, eight hundred sixty-four".