3387780248688 has 160 divisors (see below), whose sum is σ = 10647349478400. Its totient is φ = 1022811494400.

The previous prime is 3387780248687. The next prime is 3387780248693. The reversal of 3387780248688 is 8868420877833.

3387780248688 is a `hidden beast` number, since 3 + 387 + 78 + 0 + 24 + 86 + 88 = 666.

It is a super-2 number, since 2×3387780248688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387780248687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27553 + ... + 2603136.

It is an arithmetic number, because the mean of its divisors is an integer number (66545934240).

Almost surely, 2^{3387780248688} 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 3387780248688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323674739200).

3387780248688 is an abundant number, since it is smaller than the sum of its proper divisors (7259569229712).

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

3387780248688 is a wasteful number, since it uses less digits than its factorization.

3387780248688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630988 (or 2630976 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 3387780248688 in words is "three trillion, three hundred eighty-seven billion, seven hundred eighty million, two hundred forty-eight thousand, six hundred eighty-eight".