34344121440 has 48 divisors (see below), whose sum is σ = 108183984048. Its totient is φ = 9158432256.

The previous prime is 34344121439. The next prime is 34344121477. The reversal of 34344121440 is 4412144343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34344121398 and 34344121407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35774647 + ... + 35775606.

It is an arithmetic number, because the mean of its divisors is an integer number (2253833001).

Almost surely, 2^34344121440 is an apocalyptic number.

34344121440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34344121440 is an abundant number, since it is smaller than the sum of its proper divisors (73839862608).

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

34344121440 is a wasteful number, since it uses less digits than its factorization.

34344121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71550271 (or 71550263 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34344121440 its reverse (4412144343), we get a palindrome (38756265783).

The spelling of 34344121440 in words is "thirty-four billion, three hundred forty-four million, one hundred twenty-one thousand, four hundred forty".