3388248990720 has 1408 divisors, whose sum is σ = 14176737262080. Its totient is φ = 758183362560.

The previous prime is 3388248990677. The next prime is 3388248990727. The reversal of 3388248990720 is 270998428833.

3388248990720 is a `hidden beast` number, since 3 + 3 + 8 + 82 + 489 + 9 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×3388248990720² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3388248990727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1370095404 + ... + 1370097876.

Almost surely, 2^{3388248990720} is an apocalyptic number.

3388248990720 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 3388248990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088368631040).

3388248990720 is an abundant number, since it is smaller than the sum of its proper divisors (10788488271360).

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

3388248990720 is a wasteful number, since it uses less digits than its factorization.

3388248990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3388248990720 in words is "three trillion, three hundred eighty-eight billion, two hundred forty-eight million, nine hundred ninety thousand, seven hundred twenty".