3200400632 has 96 divisors (see below), whose sum is σ = 7277664240. Its totient is φ = 1309862400.

The previous prime is 3200400631. The next prime is 3200400667. The reversal of 3200400632 is 2360040023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200400631) 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, 512843 + ... + 519045.

Almost surely, 2^3200400632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200400632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638832120).

3200400632 is an abundant number, since it is smaller than the sum of its proper divisors (4077263608).

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

3200400632 is a wasteful number, since it uses less digits than its factorization.

3200400632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3200400632 is about 56572.0835041454. The cubic root of 3200400632 is about 1473.6740944277.

Adding to 3200400632 its reverse (2360040023), we get a palindrome (5560440655).

The spelling of 3200400632 in words is "three billion, two hundred million, four hundred thousand, six hundred thirty-two".