34888896 has 168 divisors, whose sum is σ = 121249440. Its totient is φ = 9363456.

The previous prime is 34888871. The next prime is 34888901. The reversal of 34888896 is 69888843.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68290 + ... + 68798.

Almost surely, 2^34888896 is an apocalyptic number.

34888896 is a gapful number since it is divisible by the number (36) 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 34888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60624720).

34888896 is an abundant number, since it is smaller than the sum of its proper divisors (86360544).

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

34888896 is a wasteful number, since it uses less digits than its factorization.

34888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 34888896 is about 5906.6823175112. The cubic root of 34888896 is about 326.7601416981.

The spelling of 34888896 in words is "thirty-four million, eight hundred eighty-eight thousand, eight hundred ninety-six".