3438869541120 has 1440 divisors, whose sum is σ = 13788095354880. Its totient is φ = 817502699520.

The previous prime is 3438869541113. The next prime is 3438869541139. The reversal of 3438869541120 is 211459688343.

It is a happy number.

3438869541120 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 86 + 9 + 541 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7061333517 + ... + 7061334003.

Almost surely, 2^{3438869541120} is an apocalyptic number.

3438869541120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438869541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894047677440).

3438869541120 is an abundant number, since it is smaller than the sum of its proper divisors (10349225813760).

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

3438869541120 is an equidigital number, since it uses as much as digits as its factorization.

3438869541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3438869541120 in words is "three trillion, four hundred thirty-eight billion, eight hundred sixty-nine million, five hundred forty-one thousand, one hundred twenty".