3756165120 has 288 divisors, whose sum is σ = 13281067800. Its totient is φ = 981467136.

The previous prime is 3756165109. The next prime is 3756165131. The reversal of 3756165120 is 215616573.

3756165120 is a `hidden beast` number, since 37 + 5 + 616 + 5 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3756165109) and next prime (3756165131).

It can be written as a sum of positive squares in 4 ways, for example, as 3175547904 + 580617216 = 56352^2 + 24096^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3756165120² = 28217552817409228800, which contains 22 as substring.

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

It is an unprimeable number.

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, 4884096 + ... + 4884864.

Almost surely, 2^3756165120 is an apocalyptic number.

3756165120 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 3756165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640533900).

3756165120 is an abundant number, since it is smaller than the sum of its proper divisors (9524902680).

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

3756165120 is a wasteful number, since it uses less digits than its factorization.

3756165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3756165120 is about 61287.5608912608. The cubic root of 3756165120 is about 1554.4671851058.

The spelling of 3756165120 in words is "three billion, seven hundred fifty-six million, one hundred sixty-five thousand, one hundred twenty".