34680960 has 192 divisors, whose sum is σ = 124750080. Its totient is φ = 9206784.

The previous prime is 34680949. The next prime is 34680977. The reversal of 34680960 is 6908643.

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155409 + ... + 155631.

It is an arithmetic number, because the mean of its divisors is an integer number (649740).

Almost surely, 2^34680960 is an apocalyptic number.

34680960 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 34680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

34680960 is an abundant number, since it is smaller than the sum of its proper divisors (90069120).

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

34680960 is an equidigital number, since it uses as much as digits as its factorization.

34680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

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

The square root of 34680960 is about 5889.0542534434. The cubic root of 34680960 is about 326.1096899629.

The spelling of 34680960 in words is "thirty-four million, six hundred eighty thousand, nine hundred sixty".