3418864225920 has 640 divisors, whose sum is σ = 14343919793280. Its totient is φ = 765058867200.

The previous prime is 3418864225913. The next prime is 3418864225949. The reversal of 3418864225920 is 295224688143.

3418864225920 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 8 + 6 + 42 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7182525 + ... + 7643715.

It is an arithmetic number, because the mean of its divisors is an integer number (22412374677).

Almost surely, 2^{3418864225920} is an apocalyptic number.

3418864225920 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 3418864225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171959896640).

3418864225920 is an abundant number, since it is smaller than the sum of its proper divisors (10925055567360).

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

3418864225920 is a wasteful number, since it uses less digits than its factorization.

3418864225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461246 (or 461225 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3418864225920 in words is "three trillion, four hundred eighteen billion, eight hundred sixty-four million, two hundred twenty-five thousand, nine hundred twenty".