3520665792 has 168 divisors, whose sum is σ = 11559166112. Its totient is φ = 1003622400.

The previous prime is 3520665767. The next prime is 3520665793. The reversal of 3520665792 is 2975660253.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×3520665792³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3520665793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2664492 + ... + 2665812.

Almost surely, 2^3520665792 is an apocalyptic number.

3520665792 is a gapful number since it is divisible by the number (32) 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 3520665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779583056).

3520665792 is an abundant number, since it is smaller than the sum of its proper divisors (8038500320).

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

3520665792 is a wasteful number, since it uses less digits than its factorization.

3520665792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3520665792 is about 59335.1985924038. The cubic root of 3520665792 is about 1521.2768864146.

The spelling of 3520665792 in words is "three billion, five hundred twenty million, six hundred sixty-five thousand, seven hundred ninety-two".