34051680 has 288 divisors, whose sum is σ = 133739424. Its totient is φ = 7815168.

The previous prime is 34051651. The next prime is 34051681. The reversal of 34051680 is 8615043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34051681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318187 + ... + 318293.

It is an arithmetic number, because the mean of its divisors is an integer number (464373).

Almost surely, 2^34051680 is an apocalyptic number.

34051680 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 34051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66869712).

34051680 is an abundant number, since it is smaller than the sum of its proper divisors (99687744).

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

34051680 is a wasteful number, since it uses less digits than its factorization.

34051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 34051680 is about 5835.3817355851. The cubic root of 34051680 is about 324.1252373647.

The spelling of 34051680 in words is "thirty-four million, fifty-one thousand, six hundred eighty".