34608960 has 168 divisors, whose sum is σ = 121606056. Its totient is φ = 9031680.

The previous prime is 34608943. The next prime is 34608971. The reversal of 34608960 is 6980643.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 30735936 = 1968^2 + 5544^2 .

It is a super-2 number, since 2×34608960² = 2395560224563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 175582 + ... + 175778.

Almost surely, 2^34608960 is an apocalyptic number.

34608960 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 34608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60803028).

34608960 is an abundant number, since it is smaller than the sum of its proper divisors (86997096).

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

34608960 is a wasteful number, since it uses less digits than its factorization.

34608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34608960 is about 5882.9380414891. The cubic root of 34608960 is about 325.8838584110.

The spelling of 34608960 in words is "thirty-four million, six hundred eight thousand, nine hundred sixty".