34580040 has 256 divisors, whose sum is σ = 126904320. Its totient is φ = 7434240.

The previous prime is 34579997. The next prime is 34580047. The reversal of 34580040 is 4008543.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34580047) 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 63 ways as a sum of consecutive naturals, for example, 516087 + ... + 516153.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 2^34580040 is an apocalyptic number.

34580040 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 34580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63452160).

34580040 is an abundant number, since it is smaller than the sum of its proper divisors (92324280).

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

34580040 is a wasteful number, since it uses less digits than its factorization.

34580040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 34580040 is about 5880.4795722798. The cubic root of 34580040 is about 325.7930612347.

Adding to 34580040 its reverse (4008543), we get a palindrome (38588583).

The spelling of 34580040 in words is "thirty-four million, five hundred eighty thousand, forty".