34120332400 has 120 divisors (see below), whose sum is σ = 102201565824. Its totient is φ = 10634899200.

The previous prime is 34120332319. The next prime is 34120332401. The reversal of 34120332400 is 423302143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120332401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523102 + ... + 584701.

Almost surely, 2^34120332400 is an apocalyptic number.

It is an amenable number.

34120332400 is an abundant number, since it is smaller than the sum of its proper divisors (68081233424).

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

34120332400 is a wasteful number, since it uses less digits than its factorization.

34120332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107839 (or 1107828 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34120332400 its reverse (423302143), we get a palindrome (34543634543).

The spelling of 34120332400 in words is "thirty-four billion, one hundred twenty million, three hundred thirty-two thousand, four hundred".