3432133320400 has 120 divisors (see below), whose sum is σ = 8465239332864. Its totient is φ = 1336607500800.

The previous prime is 3432133320397. The next prime is 3432133320403. The reversal of 3432133320400 is 40233312343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3432133320397) and next prime (3432133320403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432133320403) 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, 3112894 + ... + 4068706.

Almost surely, 2^{3432133320400} 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 3432133320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232619666432).

3432133320400 is an abundant number, since it is smaller than the sum of its proper divisors (5033106012464).

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

3432133320400 is a wasteful number, since it uses less digits than its factorization.

3432133320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956069 (or 956058 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 3432133320400 its reverse (40233312343), we get a palindrome (3472366632743).

The spelling of 3432133320400 in words is "three trillion, four hundred thirty-two billion, one hundred thirty-three million, three hundred twenty thousand, four hundred".