3438191003808 has 192 divisors, whose sum is σ = 10119022018560. Its totient is φ = 1012996224000.

The previous prime is 3438191003801. The next prime is 3438191003827. The reversal of 3438191003808 is 8083001918343.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3438191003801) 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, 56194033 + ... + 56255183.

It is an arithmetic number, because the mean of its divisors is an integer number (52703239680).

Almost surely, 2^{3438191003808} 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 3438191003808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059511009280).

3438191003808 is an abundant number, since it is smaller than the sum of its proper divisors (6680831014752).

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

3438191003808 is a wasteful number, since it uses less digits than its factorization.

3438191003808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62651 (or 62643 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 3438191003808 in words is "three trillion, four hundred thirty-eight billion, one hundred ninety-one million, three thousand, eight hundred eight".