3205426432 has 144 divisors (see below), whose sum is σ = 7440446160. Its totient is φ = 1364852736.

The previous prime is 3205426429. The next prime is 3205426457. The reversal of 3205426432 is 2346245023.

3205426432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8202496 + 3197223936 = 2864^2 + 56544^2 .

It is a super-2 number, since 2×3205426432² = 20549517221928501248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3205426394 and 3205426403.

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, 2997994 + ... + 2999062.

It is an arithmetic number, because the mean of its divisors is an integer number (51669765).

Almost surely, 2^3205426432 is an apocalyptic number.

3205426432 is a gapful number since it is divisible by the number (32) 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 3205426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720223080).

3205426432 is an abundant number, since it is smaller than the sum of its proper divisors (4235019728).

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

3205426432 is a wasteful number, since it uses less digits than its factorization.

3205426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 3205426432 is about 56616.4855143800. The cubic root of 3205426432 is about 1474.4450934972.

The spelling of 3205426432 in words is "three billion, two hundred five million, four hundred twenty-six thousand, four hundred thirty-two".