3408368000 has 64 divisors (see below), whose sum is σ = 8474094720. Its totient is φ = 1363340800.

The previous prime is 3408367981. The next prime is 3408368011. The reversal of 3408368000 is 8638043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90512 + ... + 122511.

It is an arithmetic number, because the mean of its divisors is an integer number (132407730).

Almost surely, 2^3408368000 is an apocalyptic number.

It is an amenable number.

3408368000 is an abundant number, since it is smaller than the sum of its proper divisors (5065726720).

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

3408368000 is an equidigital number, since it uses as much as digits as its factorization.

3408368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213052 (or 213030 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3408368000 is about 58381.2298602899. The cubic root of 3408368000 is about 1504.9272047880.

The spelling of 3408368000 in words is "three billion, four hundred eight million, three hundred sixty-eight thousand".