3418519104 has 672 divisors, whose sum is σ = 13535558400. Its totient is φ = 819624960.

The previous prime is 3418519087. The next prime is 3418519109. The reversal of 3418519104 is 4019158143.

3418519104 is a `hidden beast` number, since 34 + 1 + 8 + 519 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3418519109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262963002 + ... + 262963014.

It is an arithmetic number, because the mean of its divisors is an integer number (20142200).

Almost surely, 2^3418519104 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 3418519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767779200).

3418519104 is an abundant number, since it is smaller than the sum of its proper divisors (10117039296).

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

3418519104 is a wasteful number, since it uses less digits than its factorization.

3418519104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3418519104 is about 58468.1033042804. The cubic root of 3418519104 is about 1506.4197599247.

The spelling of 3418519104 in words is "three billion, four hundred eighteen million, five hundred nineteen thousand, one hundred four".