3412131660 has 432 divisors, whose sum is σ = 12548390400. Its totient is φ = 747871488.

The previous prime is 3412131647. The next prime is 3412131661. The reversal of 3412131660 is 661312143.

3412131660 is a `hidden beast` number, since 341 + 2 + 1 + 316 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3412131661) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41109979 + ... + 41110061.

It is an arithmetic number, because the mean of its divisors is an integer number (29047200).

Almost surely, 2^3412131660 is an apocalyptic number.

3412131660 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 3412131660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

3412131660 is an abundant number, since it is smaller than the sum of its proper divisors (9136258740).

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

3412131660 is a wasteful number, since it uses less digits than its factorization.

3412131660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3412131660 is about 58413.4544433044. The cubic root of 3412131660 is about 1505.4809351737.

The spelling of 3412131660 in words is "three billion, four hundred twelve million, one hundred thirty-one thousand, six hundred sixty".