34147872 has 96 divisors (see below), whose sum is σ = 108682560. Its totient is φ = 10344960.

The previous prime is 34147871. The next prime is 34147879. The reversal of 34147872 is 27874143.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34147871) 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 15 ways as a sum of consecutive naturals, for example, 7708 + ... + 11300.

It is an arithmetic number, because the mean of its divisors is an integer number (1132110).

Almost surely, 2^34147872 is an apocalyptic number.

34147872 is a gapful number since it is divisible by the number (32) 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 34147872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54341280).

34147872 is an abundant number, since it is smaller than the sum of its proper divisors (74534688).

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

34147872 is a wasteful number, since it uses less digits than its factorization.

34147872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3609 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 34147872 is about 5843.6180573340. The cubic root of 34147872 is about 324.4301556783.

The spelling of 34147872 in words is "thirty-four million, one hundred forty-seven thousand, eight hundred seventy-two".