3388896000 has 648 divisors, whose sum is σ = 14284469472. Its totient is φ = 755712000.

The previous prime is 3388895963. The next prime is 3388896011. The reversal of 3388896000 is 6988833.

3388896000 is a `hidden beast` number, since 3 + 38 + 8 + 8 + 9 + 600 + 0 = 666.

3388896000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3388896000² = 22969232197632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82655980 + ... + 82656020.

Almost surely, 2^3388896000 is an apocalyptic number.

3388896000 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 3388896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142234736).

3388896000 is an abundant number, since it is smaller than the sum of its proper divisors (10895573472).

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

3388896000 is an equidigital number, since it uses as much as digits as its factorization.

3388896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3388896000 is about 58214.2250657002. The cubic root of 3388896000 is about 1502.0558477062.

The spelling of 3388896000 in words is "three billion, three hundred eighty-eight million, eight hundred ninety-six thousand".