34741872 has 100 divisors (see below), whose sum is σ = 109739256. Its totient is φ = 10523520.

The previous prime is 34741859. The next prime is 34741873. The reversal of 34741872 is 27814743.

It is a happy number.

34741872 is a `hidden beast` number, since 3 + 474 + 187 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34741873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13038 + ... + 15474.

Almost surely, 2^34741872 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 34741872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54869628).

34741872 is an abundant number, since it is smaller than the sum of its proper divisors (74997384).

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

34741872 is a wasteful number, since it uses less digits than its factorization.

34741872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2453 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 34741872 is about 5894.2236129960. The cubic root of 34741872 is about 326.3004995154.

The spelling of 34741872 in words is "thirty-four million, seven hundred forty-one thousand, eight hundred seventy-two".