3200400042 has 64 divisors (see below), whose sum is σ = 7758664704. Its totient is φ = 859150080.

The previous prime is 3200400037. The next prime is 3200400043. The reversal of 3200400042 is 2400040023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3200399994 and 3200400030.

It is not an unprimeable number, because it can be changed into a prime (3200400043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455617 + ... + 462587.

It is an arithmetic number, because the mean of its divisors is an integer number (121229136).

Almost surely, 2^3200400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879332352).

3200400042 is an abundant number, since it is smaller than the sum of its proper divisors (4558264662).

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

3200400042 is a wasteful number, since it uses less digits than its factorization.

3200400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3200400042 is about 56572.0782895591. The cubic root of 3200400042 is about 1473.6740038695.

Adding to 3200400042 its reverse (2400040023), we get a palindrome (5600440065).

The spelling of 3200400042 in words is "three billion, two hundred million, four hundred thousand, forty-two".