3520405680120 has 960 divisors, whose sum is σ = 14705838576000. Its totient is φ = 750892488192.

The previous prime is 3520405680119. The next prime is 3520405680137. The reversal of 3520405680120 is 210865040253.

3520405680120 is a `hidden beast` number, since 3 + 52 + 0 + 40 + 568 + 0 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 202092771 + ... + 202110189.

It is an arithmetic number, because the mean of its divisors is an integer number (15318581850).

Almost surely, 2^{3520405680120} is an apocalyptic number.

3520405680120 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 3520405680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352919288000).

3520405680120 is an abundant number, since it is smaller than the sum of its proper divisors (11185432895880).

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

3520405680120 is a wasteful number, since it uses less digits than its factorization.

3520405680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17542 (or 17522 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 3520405680120 in words is "three trillion, five hundred twenty billion, four hundred five million, six hundred eighty thousand, one hundred twenty".