3200412540 has 96 divisors (see below), whose sum is σ = 9660087360. Its totient is φ = 787009536.

The previous prime is 3200412539. The next prime is 3200412559. The reversal of 3200412540 is 452140023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384906 + ... + 1387214.

It is an arithmetic number, because the mean of its divisors is an integer number (100625910).

Almost surely, 2^3200412540 is an apocalyptic number.

3200412540 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 3200412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830043680).

3200412540 is an abundant number, since it is smaller than the sum of its proper divisors (6459674820).

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

3200412540 is a wasteful number, since it uses less digits than its factorization.

3200412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3200412540 is about 56572.1887503038. The cubic root of 3200412540 is about 1473.6759221665.

Adding to 3200412540 its reverse (452140023), we get a palindrome (3652552563).

It can be divided in two parts, 32004 and 12540, that added together give a palindrome (44544).

The spelling of 3200412540 in words is "three billion, two hundred million, four hundred twelve thousand, five hundred forty".