3432350400000 has 240 divisors, whose sum is σ = 11429279448048. Its totient is φ = 915292160000.

The previous prime is 3432350399983. The next prime is 3432350400041. The reversal of 3432350400000 is 40532343.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4442464 + ... + 5157536.

Almost surely, 2^{3432350400000} is an apocalyptic number.

3432350400000 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 3432350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714639724024).

3432350400000 is an abundant number, since it is smaller than the sum of its proper divisors (7996929048048).

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

3432350400000 is an frugal number, since it uses more digits than its factorization.

3432350400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715119 (or 715083 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 3432350400000 its reverse (40532343), we get a palindrome (3432390932343).

The spelling of 3432350400000 in words is "three trillion, four hundred thirty-two billion, three hundred fifty million, four hundred thousand".