34349520 has 80 divisors (see below), whose sum is σ = 112760640. Its totient is φ = 8620032.

The previous prime is 34349509. The next prime is 34349531. The reversal of 34349520 is 2594343.

It is an interprime number because it is at equal distance from previous prime (34349509) and next prime (34349531).

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130 + ... + 8289.

It is an arithmetic number, because the mean of its divisors is an integer number (1409508).

Almost surely, 2^34349520 is an apocalyptic number.

34349520 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 34349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56380320).

34349520 is an abundant number, since it is smaller than the sum of its proper divisors (78411120).

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

34349520 is a wasteful number, since it uses less digits than its factorization.

34349520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8446 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 34349520 is about 5860.8463552630. The cubic root of 34349520 is about 325.0675047155.

The spelling of 34349520 in words is "thirty-four million, three hundred forty-nine thousand, five hundred twenty".