34048740 has 96 divisors (see below), whose sum is σ = 108573696. Its totient is φ = 7891840.

The previous prime is 34048709. The next prime is 34048753. The reversal of 34048740 is 4784043.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34048698 and 34048707.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14059 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (1130976).

Almost surely, 2^34048740 is an apocalyptic number.

34048740 is a gapful number since it is divisible by the number (30) 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 34048740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54286848).

34048740 is an abundant number, since it is smaller than the sum of its proper divisors (74524956).

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

34048740 is a wasteful number, since it uses less digits than its factorization.

34048740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 34048740 is about 5835.1298186073. The cubic root of 34048740 is about 324.1159088419.

The spelling of 34048740 in words is "thirty-four million, forty-eight thousand, seven hundred forty".