34591872 has 128 divisors (see below), whose sum is σ = 111335040. Its totient is φ = 9289728.

The previous prime is 34591871. The next prime is 34591903. The reversal of 34591872 is 27819543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34591872.

It is not an unprimeable number, because it can be changed into a prime (34591871) 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, 45318 + ... + 46074.

It is an arithmetic number, because the mean of its divisors is an integer number (869805).

Almost surely, 2^34591872 is an apocalyptic number.

34591872 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 34591872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55667520).

34591872 is an abundant number, since it is smaller than the sum of its proper divisors (76743168).

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

34591872 is a wasteful number, since it uses less digits than its factorization.

34591872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 34591872 is about 5881.4855266336. The cubic root of 34591872 is about 325.8302150757.

It can be divided in two parts, 34 and 591872, that multiplied together give a cube (20123648 = 272³).

The spelling of 34591872 in words is "thirty-four million, five hundred ninety-one thousand, eight hundred seventy-two".