34896512 has 128 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 13418496.

The previous prime is 34896509. The next prime is 34896517. The reversal of 34896512 is 21569843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34896512² = 2435533099532288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34896517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441689 + ... + 441767.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^34896512 is an apocalyptic number.

34896512 is a gapful number since it is divisible by the number (32) 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 34896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

34896512 is an abundant number, since it is smaller than the sum of its proper divisors (53231488).

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

34896512 is a wasteful number, since it uses less digits than its factorization.

34896512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 34896512 is about 5907.3269758834. The cubic root of 34896512 is about 326.7839164465.

It can be divided in two parts, 3489 and 6512, that added together give a palindrome (10001).

The spelling of 34896512 in words is "thirty-four million, eight hundred ninety-six thousand, five hundred twelve".