3387811784448 has 576 divisors, whose sum is σ = 12368540298240. Its totient is φ = 796665839616.

The previous prime is 3387811784437. The next prime is 3387811784449. The reversal of 3387811784448 is 8444871187833.

It is a super-2 number, since 2×3387811784448² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387811784449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22498786 + ... + 22648862.

It is an arithmetic number, because the mean of its divisors is an integer number (21473160240).

Almost surely, 2^{3387811784448} is an apocalyptic number.

3387811784448 is a gapful number since it is divisible by the number (38) 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 3387811784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184270149120).

3387811784448 is an abundant number, since it is smaller than the sum of its proper divisors (8980728513792).

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

3387811784448 is a wasteful number, since it uses less digits than its factorization.

3387811784448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150152 (or 150138 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 66.

The spelling of 3387811784448 in words is "three trillion, three hundred eighty-seven billion, eight hundred eleven million, seven hundred eighty-four thousand, four hundred forty-eight".