3520069687680 has 1536 divisors, whose sum is σ = 14835509821440. Its totient is φ = 693441036288.

The previous prime is 3520069687669. The next prime is 3520069687681. The reversal of 3520069687680 is 867869600253.

It is a happy number.

It is a super-2 number, since 2×3520069687680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520069687681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2246374257 + ... + 2246375823.

It is an arithmetic number, because the mean of its divisors is an integer number (9658535040).

Almost surely, 2^{3520069687680} is an apocalyptic number.

3520069687680 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 3520069687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417754910720).

3520069687680 is an abundant number, since it is smaller than the sum of its proper divisors (11315440133760).

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

3520069687680 is a wasteful number, since it uses less digits than its factorization.

3520069687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 3520069687680 in words is "three trillion, five hundred twenty billion, sixty-nine million, six hundred eighty-seven thousand, six hundred eighty".