3485641934880 has 960 divisors, whose sum is σ = 14357704128768. Its totient is φ = 779849441280.

The previous prime is 3485641934867. The next prime is 3485641934881. The reversal of 3485641934880 is 884391465843.

3485641934880 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 64 + 1 + 93 + 488 + 0 = 666.

It is a super-2 number, since 2×3485641934880² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3485641934881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3947498919 + ... + 3947499801.

Almost surely, 2^{3485641934880} is an apocalyptic number.

3485641934880 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 3485641934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178852064384).

3485641934880 is an abundant number, since it is smaller than the sum of its proper divisors (10872062193888).

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

3485641934880 is a wasteful number, since it uses less digits than its factorization.

3485641934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3485641934880 in words is "three trillion, four hundred eighty-five billion, six hundred forty-one million, nine hundred thirty-four thousand, eight hundred eighty".