34116720 has 80 divisors (see below), whose sum is σ = 115385472. Its totient is φ = 8270080.

The previous prime is 34116697. The next prime is 34116721. The reversal of 34116720 is 2761143.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34116721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822 + ... + 9101.

Almost surely, 2^34116720 is an apocalyptic number.

34116720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34116720 is an abundant number, since it is smaller than the sum of its proper divisors (81268752).

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

34116720 is a wasteful number, since it uses less digits than its factorization.

34116720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950 (or 12944 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 34116720 is about 5840.9519772037. The cubic root of 34116720 is about 324.3314699477.

Adding to 34116720 its reverse (2761143), we get a palindrome (36877863).

The spelling of 34116720 in words is "thirty-four million, one hundred sixteen thousand, seven hundred twenty".