34742916 has 72 divisors (see below), whose sum is σ = 96207384. Its totient is φ = 10506240.

The previous prime is 34742891. The next prime is 34742923. The reversal of 34742916 is 61924743.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 33524100 = 1104^2 + 5790^2 .

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

Its product of digits (36288) is a multiple of the sum of its prime divisors (1296).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27940 + ... + 29156.

Almost surely, 2^34742916 is an apocalyptic number.

34742916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34742916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48103692).

34742916 is an abundant number, since it is smaller than the sum of its proper divisors (61464468).

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

34742916 is a wasteful number, since it uses less digits than its factorization.

34742916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1296 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34742916 is about 5894.3121736128. The cubic root of 34742916 is about 326.3037679471.

The spelling of 34742916 in words is "thirty-four million, seven hundred forty-two thousand, nine hundred sixteen".