34331136 has 160 divisors (see below), whose sum is σ = 108945408. Its totient is φ = 9400320.

The previous prime is 34331123. The next prime is 34331137. The reversal of 34331136 is 63113343.

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.

Its product of digits (1944) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34331137) 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, 333261 + ... + 333363.

Almost surely, 2^34331136 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 34331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54472704).

34331136 is an abundant number, since it is smaller than the sum of its proper divisors (74614272).

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

34331136 is a wasteful number, since it uses less digits than its factorization.

34331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 34331136 is about 5859.2777711933. The cubic root of 34331136 is about 325.0095018918.

Adding to 34331136 its reverse (63113343), we get a palindrome (97444479).

The spelling of 34331136 in words is "thirty-four million, three hundred thirty-one thousand, one hundred thirty-six".