3401322534400 has 360 divisors, whose sum is σ = 9880305405696. Its totient is φ = 1156958208000.

The previous prime is 3401322534361. The next prime is 3401322534427. The reversal of 3401322534400 is 44352231043.

It is a happy number.

3401322534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79633050 + ... + 79675750.

Almost surely, 2^{3401322534400} 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 3401322534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940152702848).

3401322534400 is an abundant number, since it is smaller than the sum of its proper divisors (6478982871296).

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

3401322534400 is a wasteful number, since it uses less digits than its factorization.

3401322534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42870 (or 42842 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 3401322534400 its reverse (44352231043), we get a palindrome (3445674765443).

The spelling of 3401322534400 in words is "three trillion, four hundred one billion, three hundred twenty-two million, five hundred thirty-four thousand, four hundred".