34540002400 has 72 divisors (see below), whose sum is σ = 84385395864. Its totient is φ = 13805414400.

The previous prime is 34540002391. The next prime is 34540002401. The reversal of 34540002400 is 420004543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540002401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072939 + ... + 1104661.

It is an arithmetic number, because the mean of its divisors is an integer number (1172019387).

Almost surely, 2^34540002400 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 34540002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42192697932).

34540002400 is an abundant number, since it is smaller than the sum of its proper divisors (49845393464).

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

34540002400 is a wasteful number, since it uses less digits than its factorization.

34540002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33104 (or 33091 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 34540002400 its reverse (420004543), we get a palindrome (34960006943).

The spelling of 34540002400 in words is "thirty-four billion, five hundred forty million, two thousand, four hundred".