34871040 has 144 divisors (see below), whose sum is σ = 123866400. Its totient is φ = 9289728.

The previous prime is 34871027. The next prime is 34871093. The reversal of 34871040 is 4017843.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 34870995 and 34871013.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 34056 + ... + 35064.

Almost surely, 2^34871040 is an apocalyptic number.

34871040 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 34871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61933200).

34871040 is an abundant number, since it is smaller than the sum of its proper divisors (88995360).

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

34871040 is a wasteful number, since it uses less digits than its factorization.

34871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34871040 is about 5905.1706156554. The cubic root of 34871040 is about 326.7043873328.

Adding to 34871040 its reverse (4017843), we get a palindrome (38888883).

The spelling of 34871040 in words is "thirty-four million, eight hundred seventy-one thousand, forty".