34036002 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 8156160.

The previous prime is 34035997. The next prime is 34036007. The reversal of 34036002 is 20063043.

34036002 = 1089² + 1090² + ... + 1116².

It is an interprime number because it is at equal distance from previous prime (34035997) and next prime (34036007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34036007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17074 + ... + 18962.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^34036002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34036002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

34036002 is an abundant number, since it is smaller than the sum of its proper divisors (65030238).

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

34036002 is a wasteful number, since it uses less digits than its factorization.

34036002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34036002 is about 5834.0382240777. The cubic root of 34036002 is about 324.0754853842.

Adding to 34036002 its reverse (20063043), we get a palindrome (54099045).

The spelling of 34036002 in words is "thirty-four million, thirty-six thousand, two", and thus it is an eban number.