34884864 has 216 divisors, whose sum is σ = 121168320. Its totient is φ = 9870336.

The previous prime is 34884853. The next prime is 34884869. The reversal of 34884864 is 46848843.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34884869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338637 + ... + 338739.

Almost surely, 2^34884864 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 34884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60584160).

34884864 is an abundant number, since it is smaller than the sum of its proper divisors (86283456).

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

34884864 is a wasteful number, since it uses less digits than its factorization.

34884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 34884864 is about 5906.3409992990. The cubic root of 34884864 is about 326.7475536658.

The spelling of 34884864 in words is "thirty-four million, eight hundred eighty-four thousand, eight hundred sixty-four".