3200142420 has 36 divisors (see below), whose sum is σ = 9707099220. Its totient is φ = 853371264.

The previous prime is 3200142403. The next prime is 3200142433. The reversal of 3200142420 is 242410023.

3200142420 is a `hidden beast` number, since 3 + 200 + 1 + 42 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 411035076 + 2789107344 = 20274^2 + 52812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3200142393 and 3200142402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8889105 + ... + 8889464.

It is an arithmetic number, because the mean of its divisors is an integer number (269641645).

Almost surely, 2^3200142420 is an apocalyptic number.

3200142420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3200142420 is an abundant number, since it is smaller than the sum of its proper divisors (6506956800).

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

3200142420 is a wasteful number, since it uses less digits than its factorization.

3200142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778584 (or 17778579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3200142420 is about 56569.8013077649. The cubic root of 3200142420 is about 1473.6344607888.

Adding to 3200142420 its reverse (242410023), we get a palindrome (3442552443).

The spelling of 3200142420 in words is "three billion, two hundred million, one hundred forty-two thousand, four hundred twenty".