3368601600 has 576 divisors, whose sum is σ = 13762869120. Its totient is φ = 707788800.

The previous prime is 3368601583. The next prime is 3368601601. The reversal of 3368601600 is 61068633.

It is a super-2 number, since 2×3368601600² = 22694953479045120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3368601601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13977480 + ... + 13977720.

It is an arithmetic number, because the mean of its divisors is an integer number (23893870).

Almost surely, 2^3368601600 is an apocalyptic number.

3368601600 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 3368601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881434560).

3368601600 is an abundant number, since it is smaller than the sum of its proper divisors (10394267520).

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

3368601600 is a wasteful number, since it uses less digits than its factorization.

3368601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3368601600 is about 58039.6554090391. The cubic root of 3368601600 is about 1499.0514892335.

It can be divided in two parts, 336 and 8601600, that multiplied together give a square (2890137600 = 53760²).

The spelling of 3368601600 in words is "three billion, three hundred sixty-eight million, six hundred one thousand, six hundred".