34117740 has 192 divisors, whose sum is σ = 115153920. Its totient is φ = 8363520.

The previous prime is 34117739. The next prime is 34117747. The reversal of 34117740 is 4771143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34117747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509187 + ... + 509253.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 2^34117740 is an apocalyptic number.

34117740 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 34117740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

34117740 is an abundant number, since it is smaller than the sum of its proper divisors (81036180).

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

34117740 is a wasteful number, since it uses less digits than its factorization.

34117740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 34117740 is about 5841.0392910851. The cubic root of 34117740 is about 324.3347021341.

Adding to 34117740 its reverse (4771143), we get a palindrome (38888883).

It can be divided in two parts, 341 and 17740, that added together give a palindrome (18081).

The spelling of 34117740 in words is "thirty-four million, one hundred seventeen thousand, seven hundred forty".