3431212004000 has 576 divisors, whose sum is σ = 9572539616640. Its totient is φ = 1207084032000.

The previous prime is 3431212003969. The next prime is 3431212004081. The reversal of 3431212004000 is 4002121343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2351755271 + ... + 2351756729.

It is an arithmetic number, because the mean of its divisors is an integer number (16618992390).

Almost surely, 2^{3431212004000} 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 3431212004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786269808320).

3431212004000 is an abundant number, since it is smaller than the sum of its proper divisors (6141327612640).

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

3431212004000 is a wasteful number, since it uses less digits than its factorization.

3431212004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3431212004000 its reverse (4002121343), we get a palindrome (3435214125343).

The spelling of 3431212004000 in words is "three trillion, four hundred thirty-one billion, two hundred twelve million, four thousand".