34540022400 has 192 divisors, whose sum is σ = 122517887520. Its totient is φ = 8502128640.

The previous prime is 34540022381. The next prime is 34540022437. The reversal of 34540022400 is 422004543.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13582 + ... + 263181.

Almost surely, 2^34540022400 is an apocalyptic number.

34540022400 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 34540022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61258943760).

34540022400 is an abundant number, since it is smaller than the sum of its proper divisors (87977865120).

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

34540022400 is a wasteful number, since it uses less digits than its factorization.

34540022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276803 (or 276786 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 34540022400 its reverse (422004543), we get a palindrome (34962026943).

The spelling of 34540022400 in words is "thirty-four billion, five hundred forty million, twenty-two thousand, four hundred".