3364806445920 has 480 divisors, whose sum is σ = 12297184542720. Its totient is φ = 865442672640.

The previous prime is 3364806445883. The next prime is 3364806445921. The reversal of 3364806445920 is 295446084633.

3364806445920 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 8 + 0 + 6 + 44 + 592 + 0 = 666.

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

It is a super-2 number, since 2×3364806445920² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364806445921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 410789025 + ... + 410797215.

It is an arithmetic number, because the mean of its divisors is an integer number (25619134464).

Almost surely, 2^{3364806445920} is an apocalyptic number.

3364806445920 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 3364806445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148592271360).

3364806445920 is an abundant number, since it is smaller than the sum of its proper divisors (8932378096800).

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

3364806445920 is a wasteful number, since it uses less digits than its factorization.

3364806445920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3364806445920 in words is "three trillion, three hundred sixty-four billion, eight hundred six million, four hundred forty-five thousand, nine hundred twenty".