3438285623136 has 1008 divisors, whose sum is σ = 12968143856640. Its totient is φ = 877330621440.

The previous prime is 3438285623117. The next prime is 3438285623189. The reversal of 3438285623136 is 6313265828343.

3438285623136 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 2 + 8 + 5 + 623 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 855505735 + ... + 855509753.

It is an arithmetic number, because the mean of its divisors is an integer number (12865222080).

Almost surely, 2^{3438285623136} is an apocalyptic number.

3438285623136 is a gapful number since it is divisible by the number (36) 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 3438285623136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484071928320).

3438285623136 is an abundant number, since it is smaller than the sum of its proper divisors (9529858233504).

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

3438285623136 is a wasteful number, since it uses less digits than its factorization.

3438285623136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4075 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 3438285623136 in words is "three trillion, four hundred thirty-eight billion, two hundred eighty-five million, six hundred twenty-three thousand, one hundred thirty-six".