34896960 has 224 divisors, whose sum is σ = 140939520. Its totient is φ = 7962624.

The previous prime is 34896931. The next prime is 34896991. The reversal of 34896960 is 6969843.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60192 + ... + 60768.

Almost surely, 2^34896960 is an apocalyptic number.

34896960 is a gapful number since it is divisible by the number (30) 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 34896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70469760).

34896960 is an abundant number, since it is smaller than the sum of its proper divisors (106042560).

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

34896960 is a wasteful number, since it uses less digits than its factorization.

34896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 34896960 is about 5907.3648947733. The cubic root of 34896960 is about 326.7853148534.

The spelling of 34896960 in words is "thirty-four million, eight hundred ninety-six thousand, nine hundred sixty".