34322162645400 has 192 divisors, whose sum is σ = 121687884334080. Its totient is φ = 7839300249600.

The previous prime is 34322162645363. The next prime is 34322162645453. The reversal of 34322162645400 is 454626122343.

It is a happy number.

It is a super-2 number, since 2×34322162645400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2714017 + ... + 8718383.

It is an arithmetic number, because the mean of its divisors is an integer number (633791064240).

Almost surely, 2^{34322162645400} is an apocalyptic number.

34322162645400 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 34322162645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60843942167040).

34322162645400 is an abundant number, since it is smaller than the sum of its proper divisors (87365721688680).

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

34322162645400 is a wasteful number, since it uses less digits than its factorization.

34322162645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005754 (or 6005745 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 34322162645400 its reverse (454626122343), we get a palindrome (34776788767743).

The spelling of 34322162645400 in words is "thirty-four trillion, three hundred twenty-two billion, one hundred sixty-two million, six hundred forty-five thousand, four hundred".