34742736 has 80 divisors (see below), whose sum is σ = 113980800. Its totient is φ = 9925632.

The previous prime is 34742711. The next prime is 34742749. The reversal of 34742736 is 63724743.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34742736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721 + ... + 8768.

It is an arithmetic number, because the mean of its divisors is an integer number (1424760).

Almost surely, 2^34742736 is an apocalyptic number.

34742736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34742736 is an abundant number, since it is smaller than the sum of its proper divisors (79238064).

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

34742736 is a wasteful number, since it uses less digits than its factorization.

34742736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513 (or 11501 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 34742736 is about 5894.2969046359. The cubic root of 34742736 is about 326.3032044291.

The spelling of 34742736 in words is "thirty-four million, seven hundred forty-two thousand, seven hundred thirty-six".