3418575840 has 480 divisors, whose sum is σ = 12739313664. Its totient is φ = 862202880.

The previous prime is 3418575799. The next prime is 3418575851. The reversal of 3418575840 is 485758143.

3418575840 is a `hidden beast` number, since 3 + 4 + 18 + 57 + 584 + 0 = 666.

3418575840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26917857 + ... + 26917983.

Almost surely, 2^3418575840 is an apocalyptic number.

3418575840 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 3418575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369656832).

3418575840 is an abundant number, since it is smaller than the sum of its proper divisors (9320737824).

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

3418575840 is a wasteful number, since it uses less digits than its factorization.

3418575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 3418575840 is about 58468.5884898892. The cubic root of 3418575840 is about 1506.4280937242.

The spelling of 3418575840 in words is "three billion, four hundred eighteen million, five hundred seventy-five thousand, eight hundred forty".