3418272000 has 864 divisors, whose sum is σ = 14624378496. Its totient is φ = 755712000.

The previous prime is 3418271867. The next prime is 3418272017. The reversal of 3418272000 is 2728143.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41183959 + ... + 41184041.

It is an arithmetic number, because the mean of its divisors is an integer number (16926364).

Almost surely, 2^3418272000 is an apocalyptic number.

3418272000 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 3418272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312189248).

3418272000 is an abundant number, since it is smaller than the sum of its proper divisors (11206106496).

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

3418272000 is a wasteful number, since it uses less digits than its factorization.

3418272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3418272000 is about 58465.9901139115. The cubic root of 3418272000 is about 1506.3834624026.

The spelling of 3418272000 in words is "three billion, four hundred eighteen million, two hundred seventy-two thousand".