34411272 has 64 divisors (see below), whose sum is σ = 98824320. Its totient is φ = 9781248.

The previous prime is 34411253. The next prime is 34411283. The reversal of 34411272 is 27211443.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

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, 42778 + ... + 43574.

It is an arithmetic number, because the mean of its divisors is an integer number (1544130).

Almost surely, 2^34411272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34411272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49412160).

34411272 is an abundant number, since it is smaller than the sum of its proper divisors (64413048).

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

34411272 is a wasteful number, since it uses less digits than its factorization.

34411272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 34411272 is about 5866.1121707652. The cubic root of 34411272 is about 325.2621852762.

The spelling of 34411272 in words is "thirty-four million, four hundred eleven thousand, two hundred seventy-two".