34025640 has 128 divisors (see below), whose sum is σ = 112752000. Its totient is φ = 8145920.

The previous prime is 34025623. The next prime is 34025659. The reversal of 34025640 is 4652043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34025640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196594 + ... + 196766.

It is an arithmetic number, because the mean of its divisors is an integer number (880875).

Almost surely, 2^34025640 is an apocalyptic number.

34025640 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 34025640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56376000).

34025640 is an abundant number, since it is smaller than the sum of its proper divisors (78726360).

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

34025640 is a wasteful number, since it uses less digits than its factorization.

34025640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34025640 is about 5833.1500923600. The cubic root of 34025640 is about 324.0425946134.

Adding to 34025640 its reverse (4652043), we get a palindrome (38677683).

The spelling of 34025640 in words is "thirty-four million, twenty-five thousand, six hundred forty".