3434432100 has 144 divisors (see below), whose sum is σ = 10971797760. Its totient is φ = 822492800.

The previous prime is 3434432047. The next prime is 3434432161. The reversal of 3434432100 is 12344343.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267631 + ... + 280169.

It is an arithmetic number, because the mean of its divisors is an integer number (76193040).

Almost surely, 2^3434432100 is an apocalyptic number.

3434432100 is a gapful number since it is divisible by the number (30) 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 3434432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

3434432100 is an abundant number, since it is smaller than the sum of its proper divisors (7537365660).

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

3434432100 is a wasteful number, since it uses less digits than its factorization.

3434432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12650 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3434432100 is about 58604.0280185586. The cubic root of 3434432100 is about 1508.7535728281.

Adding to 3434432100 its reverse (12344343), we get a palindrome (3446776443).

It can be divided in two parts, 343443 and 2100, that added together give a palindrome (345543).

The spelling of 3434432100 in words is "three billion, four hundred thirty-four million, four hundred thirty-two thousand, one hundred".