3388968000 has 504 divisors, whose sum is σ = 13359429720. Its totient is φ = 819456000.

The previous prime is 3388967999. The next prime is 3388968013. The reversal of 3388968000 is 8698833.

3388968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 2986403904 = 20064^2 + 54648^2 .

It is a super-2 number, since 2×3388968000² = 22970208210048000000, 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, 8711806 + ... + 8712194.

It is an arithmetic number, because the mean of its divisors is an integer number (26506805).

Almost surely, 2^3388968000 is an apocalyptic number.

3388968000 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 3388968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679714860).

3388968000 is an abundant number, since it is smaller than the sum of its proper divisors (9970461720).

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

3388968000 is a wasteful number, since it uses less digits than its factorization.

3388968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 410 counting only the distinct ones).

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

The square root of 3388968000 is about 58214.8434679679. The cubic root of 3388968000 is about 1502.0664851188.

The spelling of 3388968000 in words is "three billion, three hundred eighty-eight million, nine hundred sixty-eight thousand".