3368870400 has 480 divisors, whose sum is σ = 12957170688. Its totient is φ = 755712000.

The previous prime is 3368870369. The next prime is 3368870413. The reversal of 3368870400 is 40788633.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3368870400² = 22698575543992320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22310325 + ... + 22310475.

Almost surely, 2^3368870400 is an apocalyptic number.

3368870400 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 3368870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478585344).

3368870400 is an abundant number, since it is smaller than the sum of its proper divisors (9588300288).

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

3368870400 is a wasteful number, since it uses less digits than its factorization.

3368870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3368870400 is about 58041.9710209776. The cubic root of 3368870400 is about 1499.0913608055.

The spelling of 3368870400 in words is "three billion, three hundred sixty-eight million, eight hundred seventy thousand, four hundred".