3418097848704 has 384 divisors, whose sum is σ = 12418233984000. Its totient is φ = 876577628160.

The previous prime is 3418097848699. The next prime is 3418097848723. The reversal of 3418097848704 is 4078487908143.

3418097848704 is a `hidden beast` number, since 3 + 4 + 1 + 80 + 9 + 78 + 487 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6763732 + ... + 7251500.

It is an arithmetic number, because the mean of its divisors is an integer number (32339151000).

Almost surely, 2^{3418097848704} 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 3418097848704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209116992000).

3418097848704 is an abundant number, since it is smaller than the sum of its proper divisors (9000136135296).

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

3418097848704 is a wasteful number, since it uses less digits than its factorization.

3418097848704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487886 (or 487871 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 3418097848704 in words is "three trillion, four hundred eighteen billion, ninety-seven million, eight hundred forty-eight thousand, seven hundred four".