34755138 has 48 divisors (see below), whose sum is σ = 82588896. Its totient is φ = 10475520.

The previous prime is 34755131. The next prime is 34755169. The reversal of 34755138 is 83155743.

It is a cake number, because a cake can be divided into 34755138 parts by 593 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34755131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50545 + ... + 51227.

It is an arithmetic number, because the mean of its divisors is an integer number (1720602).

Almost surely, 2^34755138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34755138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41294448).

34755138 is an abundant number, since it is smaller than the sum of its proper divisors (47833758).

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

34755138 is a wasteful number, since it uses less digits than its factorization.

34755138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 956 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 34755138 is about 5895.3488446402. The cubic root of 34755138 is about 326.3420262700.

The spelling of 34755138 in words is "thirty-four million, seven hundred fifty-five thousand, one hundred thirty-eight".