34725040 has 80 divisors (see below), whose sum is σ = 93922560. Its totient is φ = 11692800.

The previous prime is 34725029. The next prime is 34725049. The reversal of 34725040 is 4052743.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34724996 and 34725014.

It is not an unprimeable number, because it can be changed into a prime (34725049) by changing a digit.

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, 32515 + ... + 33565.

It is an arithmetic number, because the mean of its divisors is an integer number (1174032).

Almost surely, 2^34725040 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 34725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46961280).

34725040 is an abundant number, since it is smaller than the sum of its proper divisors (59197520).

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

34725040 is a wasteful number, since it uses less digits than its factorization.

34725040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 34725040 is about 5892.7956014103. The cubic root of 34725040 is about 326.2477948403.

Adding to 34725040 its reverse (4052743), we get a palindrome (38777783).

The spelling of 34725040 in words is "thirty-four million, seven hundred twenty-five thousand, forty".