3520028160 has 960 divisors, whose sum is σ = 15167243520. Its totient is φ = 743178240.

The previous prime is 3520028107. The next prime is 3520028167. The reversal of 3520028160 is 618200253.

3520028160 is a `hidden beast` number, since 3 + 520 + 0 + 2 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520028167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81861099 + ... + 81861141.

It is an arithmetic number, because the mean of its divisors is an integer number (15799212).

Almost surely, 2^3520028160 is an apocalyptic number.

3520028160 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 3520028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583621760).

3520028160 is an abundant number, since it is smaller than the sum of its proper divisors (11647215360).

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

3520028160 is a wasteful number, since it uses less digits than its factorization.

3520028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3520028160 is about 59329.8252146423. The cubic root of 3520028160 is about 1521.1850407764.

The spelling of 3520028160 in words is "three billion, five hundred twenty million, twenty-eight thousand, one hundred sixty".