3438840525120 has 4032 divisors, whose sum is σ = 17484568657920. Its totient is φ = 608012697600.

The previous prime is 3438840525119. The next prime is 3438840525121. The reversal of 3438840525120 is 215250488343.

3438840525120 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 84 + 0 + 52 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3438840525119) and next prime (3438840525121).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438840525121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14388453961 + ... + 14388454199.

It is an arithmetic number, because the mean of its divisors is an integer number (4336450560).

Almost surely, 2^{3438840525120} is an apocalyptic number.

3438840525120 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 3438840525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742284328960).

3438840525120 is an abundant number, since it is smaller than the sum of its proper divisors (14045728132800).

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

3438840525120 is a wasteful number, since it uses less digits than its factorization.

3438840525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 3438840525120 in words is "three trillion, four hundred thirty-eight billion, eight hundred forty million, five hundred twenty-five thousand, one hundred twenty".