3234209040 has 160 divisors (see below), whose sum is σ = 11297491200. Its totient is φ = 850268160.

The previous prime is 3234209039. The next prime is 3234209107. The reversal of 3234209040 is 409024323.

It is a happy number.

It is a super-2 number, since 2×3234209040² = 20920216228835443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3234208995 and 3234209013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142816 + ... + 163904.

It is an arithmetic number, because the mean of its divisors is an integer number (70609320).

Almost surely, 2^3234209040 is an apocalyptic number.

3234209040 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 3234209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648745600).

3234209040 is an abundant number, since it is smaller than the sum of its proper divisors (8063282160).

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

3234209040 is a wasteful number, since it uses less digits than its factorization.

3234209040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21182 (or 21170 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3234209040 is about 56870.1067345578. The cubic root of 3234209040 is about 1478.8451302357.

The spelling of 3234209040 in words is "three billion, two hundred thirty-four million, two hundred nine thousand, forty".