34211004 has 48 divisors (see below), whose sum is σ = 85817088. Its totient is φ = 10568448.

The previous prime is 34210993. The next prime is 34211053. The reversal of 34211004 is 40011243.

It is a congruent number.

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, 12417 + ... + 14919.

It is an arithmetic number, because the mean of its divisors is an integer number (1787856).

Almost surely, 2^34211004 is an apocalyptic number.

34211004 is a gapful number since it is divisible by the number (34) 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 34211004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42908544).

34211004 is an abundant number, since it is smaller than the sum of its proper divisors (51606084).

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

34211004 is a wasteful number, since it uses less digits than its factorization.

34211004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34211004 is about 5849.0173533680. The cubic root of 34211004 is about 324.6299662290.

Adding to 34211004 its reverse (40011243), we get a palindrome (74222247).

The spelling of 34211004 in words is "thirty-four million, two hundred eleven thousand, four".