34202720 has 48 divisors (see below), whose sum is σ = 81230688. Its totient is φ = 13608960.

The previous prime is 34202681. The next prime is 34202731. The reversal of 34202720 is 2720243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34202692 and 34202701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38117 + ... + 39003.

It is an arithmetic number, because the mean of its divisors is an integer number (1692306).

Almost surely, 2^34202720 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 34202720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40615344).

34202720 is an abundant number, since it is smaller than the sum of its proper divisors (47027968).

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

34202720 is a wasteful number, since it uses less digits than its factorization.

34202720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 34202720 is about 5848.3091573548. The cubic root of 34202720 is about 324.6037616806.

Adding to 34202720 its reverse (2720243), we get a palindrome (36922963).

The spelling of 34202720 in words is "thirty-four million, two hundred two thousand, seven hundred twenty".