3432234003000 has 256 divisors, whose sum is σ = 11813345856000. Its totient is φ = 822707072000.

The previous prime is 3432234002999. The next prime is 3432234003091. The reversal of 3432234003000 is 3004322343.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2352691 + ... + 3521309.

It is an arithmetic number, because the mean of its divisors is an integer number (46145882250).

Almost surely, 2^{3432234003000} is an apocalyptic number.

3432234003000 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 3432234003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906672928000).

3432234003000 is an abundant number, since it is smaller than the sum of its proper divisors (8381111853000).

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

3432234003000 is a wasteful number, since it uses less digits than its factorization.

3432234003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168743 (or 1168729 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 3432234003000 its reverse (3004322343), we get a palindrome (3435238325343).

The spelling of 3432234003000 in words is "three trillion, four hundred thirty-two billion, two hundred thirty-four million, three thousand".