3200412420 has 72 divisors (see below), whose sum is σ = 9891115416. Its totient is φ = 837338112.

The previous prime is 3200412419. The next prime is 3200412427. The reversal of 3200412420 is 242140023.

3200412420 is a `hidden beast` number, since 3 + 200 + 41 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 3092916996 = 10368^2 + 55614^2 .

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 = 3200412393 and 3200412402.

It is not an unprimeable number, because it can be changed into a prime (3200412427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158197 + ... + 177276.

It is an arithmetic number, because the mean of its divisors is an integer number (137376603).

Almost surely, 2^3200412420 is an apocalyptic number.

3200412420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3200412420 is an abundant number, since it is smaller than the sum of its proper divisors (6690702996).

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

3200412420 is a wasteful number, since it uses less digits than its factorization.

3200412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335541 (or 335536 counting only the distinct ones).

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

The square root of 3200412420 is about 56572.1876897120. The cubic root of 3200412420 is about 1473.6759037479.

Adding to 3200412420 its reverse (242140023), we get a palindrome (3442552443).

The spelling of 3200412420 in words is "three billion, two hundred million, four hundred twelve thousand, four hundred twenty".