34144187483360 has 96 divisors (see below), whose sum is σ = 81155924849664. Its totient is φ = 13574836800000.

The previous prime is 34144187483353. The next prime is 34144187483383. The reversal of 34144187483360 is 6338478144143.

It is a junction number, because it is equal to n+sod(n) for n = 34144187483296 and 34144187483305.

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 15 ways as a sum of consecutive naturals, for example, 24680405 + ... + 26027115.

It is an arithmetic number, because the mean of its divisors is an integer number (845374217184).

Almost surely, 2^{34144187483360} 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 34144187483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40577962424832).

34144187483360 is an abundant number, since it is smaller than the sum of its proper divisors (47011737366304).

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

34144187483360 is a wasteful number, since it uses less digits than its factorization.

34144187483360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347688 (or 1347680 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 56.

The spelling of 34144187483360 in words is "thirty-four trillion, one hundred forty-four billion, one hundred eighty-seven million, four hundred eighty-three thousand, three hundred sixty".