3412431640 has 64 divisors (see below), whose sum is σ = 8119077120. Its totient is φ = 1288704000.

The previous prime is 3412431629. The next prime is 3412431667. The reversal of 3412431640 is 461342143.

It is a junction number, because it is equal to n+sod(n) for n = 3412431599 and 3412431608.

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, 17280 + ... + 84400.

It is an arithmetic number, because the mean of its divisors is an integer number (126860580).

Almost surely, 2^3412431640 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 3412431640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059538560).

3412431640 is an abundant number, since it is smaller than the sum of its proper divisors (4706645480).

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

3412431640 is a wasteful number, since it uses less digits than its factorization.

3412431640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67204 (or 67200 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3412431640 is about 58416.0221172240. The cubic root of 3412431640 is about 1505.5250523593.

Adding to 3412431640 its reverse (461342143), we get a palindrome (3873773783).

The spelling of 3412431640 in words is "three billion, four hundred twelve million, four hundred thirty-one thousand, six hundred forty".