34444200120 has 64 divisors (see below), whose sum is σ = 112726477440. Its totient is φ = 8350108800.

The previous prime is 34444200101. The next prime is 34444200143. The reversal of 34444200120 is 2100244443.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13045726 + ... + 13048365.

It is an arithmetic number, because the mean of its divisors is an integer number (1761351210).

Almost surely, 2^34444200120 is an apocalyptic number.

34444200120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34444200120 is an abundant number, since it is smaller than the sum of its proper divisors (78282277320).

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

34444200120 is a wasteful number, since it uses less digits than its factorization.

34444200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26094116 (or 26094112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34444200120 its reverse (2100244443), we get a palindrome (36544444563).

The spelling of 34444200120 in words is "thirty-four billion, four hundred forty-four million, two hundred thousand, one hundred twenty".