3438591438880 has 192 divisors, whose sum is σ = 9562007605248. Its totient is φ = 1156402298880.

The previous prime is 3438591438857. The next prime is 3438591438881. The reversal of 3438591438880 is 888341958343.

It is a super-2 number, since 2×3438591438880² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3438591438881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472312 + ... + 2664631.

It is an arithmetic number, because the mean of its divisors is an integer number (49802122944).

Almost surely, 2^{3438591438880} is an apocalyptic number.

It is an amenable number.

3438591438880 is an abundant number, since it is smaller than the sum of its proper divisors (6123416166368).

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

3438591438880 is a wasteful number, since it uses less digits than its factorization.

3438591438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137019 (or 3137011 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 3438591438880 in words is "three trillion, four hundred thirty-eight billion, five hundred ninety-one million, four hundred thirty-eight thousand, eight hundred eighty".