3421234502400 has 864 divisors, whose sum is σ = 13425410218752. Its totient is φ = 756316569600.

The previous prime is 3421234502363. The next prime is 3421234502417. The reversal of 3421234502400 is 42054321243.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 227877294 + ... + 227892306.

Almost surely, 2^{3421234502400} is an apocalyptic number.

3421234502400 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 3421234502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712705109376).

3421234502400 is an abundant number, since it is smaller than the sum of its proper divisors (10004175716352).

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

3421234502400 is a wasteful number, since it uses less digits than its factorization.

3421234502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15149 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 3421234502400 its reverse (42054321243), we get a palindrome (3463288823643).

The spelling of 3421234502400 in words is "three trillion, four hundred twenty-one billion, two hundred thirty-four million, five hundred two thousand, four hundred".