3413142432 has 108 divisors (see below), whose sum is σ = 11290843746. Its totient is φ = 975179520.

The previous prime is 3413142413. The next prime is 3413142449. The reversal of 3413142432 is 2342413143.

3413142432 is a `hidden beast` number, since 3 + 413 + 1 + 4 + 243 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3369105936 + 44036496 = 58044^2 + 6636^2 .

It is a super-2 number, since 2×3413142432² = 23299082522237749248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3413142396 and 3413142405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106819 + ... + 135042.

Almost surely, 2^3413142432 is an apocalyptic number.

3413142432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3413142432 is an abundant number, since it is smaller than the sum of its proper divisors (7877701314).

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

3413142432 is a wasteful number, since it uses less digits than its factorization.

3413142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241891 (or 241873 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3413142432 is about 58422.1056792718. The cubic root of 3413142432 is about 1505.6295761500.

Adding to 3413142432 its reverse (2342413143), we get a palindrome (5755555575).

The spelling of 3413142432 in words is "three billion, four hundred thirteen million, one hundred forty-two thousand, four hundred thirty-two".