34713120 has 96 divisors (see below), whose sum is σ = 117778752. Its totient is φ = 8543232.

The previous prime is 34713113. The next prime is 34713127. The reversal of 34713120 is 2131743.

It is an interprime number because it is at equal distance from previous prime (34713113) and next prime (34713127).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34713127) 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, 3459 + ... + 9021.

It is an arithmetic number, because the mean of its divisors is an integer number (1226862).

Almost surely, 2^34713120 is an apocalyptic number.

34713120 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 34713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58889376).

34713120 is an abundant number, since it is smaller than the sum of its proper divisors (83065632).

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

34713120 is a wasteful number, since it uses less digits than its factorization.

34713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 34713120 is about 5891.7841100977. The cubic root of 34713120 is about 326.2104604099.

Adding to 34713120 its reverse (2131743), we get a palindrome (36844863).

The spelling of 34713120 in words is "thirty-four million, seven hundred thirteen thousand, one hundred twenty".