34264120 has 64 divisors (see below), whose sum is σ = 86106240. Its totient is φ = 12163200.

The previous prime is 34264099. The next prime is 34264121. The reversal of 34264120 is 2146243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34264091 and 34264100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34264121) 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, 18015 + ... + 19825.

It is an arithmetic number, because the mean of its divisors is an integer number (1345410).

Almost surely, 2^34264120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43053120).

34264120 is an abundant number, since it is smaller than the sum of its proper divisors (51842120).

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

34264120 is a wasteful number, since it uses less digits than its factorization.

34264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34264120 is about 5853.5561840645. The cubic root of 34264120 is about 324.7978861681.

The spelling of 34264120 in words is "thirty-four million, two hundred sixty-four thousand, one hundred twenty".