34420736 has 72 divisors (see below), whose sum is σ = 80294760. Its totient is φ = 14751744.

The previous prime is 34420721. The next prime is 34420739. The reversal of 34420736 is 63702443.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a junction number, because it is equal to n+sod(n) for n = 34420699 and 34420708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420739) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4917245 + ... + 4917251.

It is an arithmetic number, because the mean of its divisors is an integer number (1115205).

Almost surely, 2^34420736 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 34420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40147380).

34420736 is an abundant number, since it is smaller than the sum of its proper divisors (45874024).

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

34420736 is an frugal number, since it uses more digits than its factorization.

34420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 34420736 is about 5866.9187824615. The cubic root of 34420736 is about 325.2920010796.

The spelling of 34420736 in words is "thirty-four million, four hundred twenty thousand, seven hundred thirty-six".