34727840 has 96 divisors (see below), whose sum is σ = 95001984. Its totient is φ = 11750400.

The previous prime is 34727809. The next prime is 34727863. The reversal of 34727840 is 4872743.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34727840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112967 + ... + 113273.

It is an arithmetic number, because the mean of its divisors is an integer number (989604).

Almost surely, 2^34727840 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 34727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47500992).

34727840 is an abundant number, since it is smaller than the sum of its proper divisors (60274144).

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

34727840 is a wasteful number, since it uses less digits than its factorization.

34727840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 34727840 is about 5893.0331748600. The cubic root of 34727840 is about 326.2565634338.

The spelling of 34727840 in words is "thirty-four million, seven hundred twenty-seven thousand, eight hundred forty".