34123322400 has 72 divisors (see below), whose sum is σ = 111071422224. Its totient is φ = 9099552000.

The previous prime is 34123322393. The next prime is 34123322407. The reversal of 34123322400 is 422332143.

It is an interprime number because it is at equal distance from previous prime (34123322393) and next prime (34123322407).

It is a super-2 number, since 2×34123322400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34123322407) 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, 7106626 + ... + 7111425.

It is an arithmetic number, because the mean of its divisors is an integer number (1542658642).

Almost surely, 2^34123322400 is an apocalyptic number.

34123322400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34123322400 is an abundant number, since it is smaller than the sum of its proper divisors (76948099824).

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

34123322400 is a wasteful number, since it uses less digits than its factorization.

34123322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14218074 (or 14218061 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34123322400 its reverse (422332143), we get a palindrome (34545654543).

The spelling of 34123322400 in words is "thirty-four billion, one hundred twenty-three million, three hundred twenty-two thousand, four hundred".