3301873735680 has 1152 divisors, whose sum is σ = 12917533224960. Its totient is φ = 804065771520.

The previous prime is 3301873735663. The next prime is 3301873735717. The reversal of 3301873735680 is 865373781033.

3301873735680 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 8 + 7 + 3 + 73 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3331859985 + ... + 3331860975.

It is an arithmetic number, because the mean of its divisors is an integer number (11213136480).

Almost surely, 2^{3301873735680} is an apocalyptic number.

3301873735680 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 3301873735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458766612480).

3301873735680 is an abundant number, since it is smaller than the sum of its proper divisors (9615659489280).

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

3301873735680 is a wasteful number, since it uses less digits than its factorization.

3301873735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3301873735680 in words is "three trillion, three hundred one billion, eight hundred seventy-three million, seven hundred thirty-five thousand, six hundred eighty".