3421432014000 has 1280 divisors, whose sum is σ = 14999999938560. Its totient is φ = 647861760000.

The previous prime is 3421432013941. The next prime is 3421432014001. The reversal of 3421432014000 is 4102341243.

3421432014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3421432014001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 474470395 + ... + 474477605.

It is an arithmetic number, because the mean of its divisors is an integer number (11718749952).

Almost surely, 2^{3421432014000} is an apocalyptic number.

3421432014000 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 3421432014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499999969280).

3421432014000 is an abundant number, since it is smaller than the sum of its proper divisors (11578567924560).

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

3421432014000 is a wasteful number, since it uses less digits than its factorization.

3421432014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3421432014000 its reverse (4102341243), we get a palindrome (3425534355243).

The spelling of 3421432014000 in words is "three trillion, four hundred twenty-one billion, four hundred thirty-two million, fourteen thousand".