3434007732 has 72 divisors (see below), whose sum is σ = 8411528160. Its totient is φ = 1090288320.

The previous prime is 3434007727. The next prime is 3434007781. The reversal of 3434007732 is 2377004343.

It is a junction number, because it is equal to n+sod(n) for n = 3434007693 and 3434007702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706607 + ... + 1708617.

It is an arithmetic number, because the mean of its divisors is an integer number (116826780).

Almost surely, 2^3434007732 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 3434007732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205764080).

3434007732 is an abundant number, since it is smaller than the sum of its proper divisors (4977520428).

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

3434007732 is a wasteful number, since it uses less digits than its factorization.

3434007732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 33.

The square root of 3434007732 is about 58600.4072682093. The cubic root of 3434007732 is about 1508.6914283366.

The spelling of 3434007732 in words is "three billion, four hundred thirty-four million, seven thousand, seven hundred thirty-two".