34742268 has 72 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 10342560.

The previous prime is 34742243. The next prime is 34742287. The reversal of 34742268 is 86224743.

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, 22621 + ... + 24107.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^34742268 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 34742268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

34742268 is an abundant number, since it is smaller than the sum of its proper divisors (62751492).

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

34742268 is a wasteful number, since it uses less digits than its factorization.

34742268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1562 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 34742268 is about 5894.2572051108. The cubic root of 34742268 is about 326.3017392731.

The spelling of 34742268 in words is "thirty-four million, seven hundred forty-two thousand, two hundred sixty-eight".