3368414000 has 160 divisors (see below), whose sum is σ = 9856619136. Its totient is φ = 1086873600.

The previous prime is 3368413981. The next prime is 3368414033. The reversal of 3368414000 is 4148633.

It is a super-2 number, since 2×3368414000² = 22692425750792000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230924 + ... + 245076.

Almost surely, 2^3368414000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928309568).

3368414000 is an abundant number, since it is smaller than the sum of its proper divisors (6488205136).

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

3368414000 is a wasteful number, since it uses less digits than its factorization.

3368414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14184 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3368414000 is about 58038.0392501332. The cubic root of 3368414000 is about 1499.0236609422.

The spelling of 3368414000 in words is "three billion, three hundred sixty-eight million, four hundred fourteen thousand".