3388001568 has 384 divisors, whose sum is σ = 11379916800. Its totient is φ = 860378112.

The previous prime is 3388001567. The next prime is 3388001579. The reversal of 3388001568 is 8651008833.

It is a super-2 number, since 2×3388001568² = 22957109249540917248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3388001567) 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, 24374043 + ... + 24374181.

It is an arithmetic number, because the mean of its divisors is an integer number (29635200).

Almost surely, 2^3388001568 is an apocalyptic number.

3388001568 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 3388001568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689958400).

3388001568 is an abundant number, since it is smaller than the sum of its proper divisors (7991915232).

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

3388001568 is a wasteful number, since it uses less digits than its factorization.

3388001568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 3388001568 is about 58206.5423126988. The cubic root of 3388001568 is about 1501.9236901118.

The spelling of 3388001568 in words is "three billion, three hundred eighty-eight million, one thousand, five hundred sixty-eight".