3755890980 has 72 divisors (see below), whose sum is σ = 11435369400. Its totient is φ = 997834752.

The previous prime is 3755890973. The next prime is 3755890981. The reversal of 3755890980 is 890985573.

3755890980 is a `hidden beast` number, since 3 + 7 + 558 + 9 + 0 + 9 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 3750582564 = 2304^2 + 61242^2 .

It is not an unprimeable number, because it can be changed into a prime (3755890981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9636 + ... + 87204.

It is an arithmetic number, because the mean of its divisors is an integer number (158824575).

Almost surely, 2^3755890980 is an apocalyptic number.

3755890980 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 3755890980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717684700).

3755890980 is an abundant number, since it is smaller than the sum of its proper divisors (7679478420).

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

3755890980 is a wasteful number, since it uses less digits than its factorization.

3755890980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77853 (or 77848 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 3755890980 is about 61285.3243444138. The cubic root of 3755890980 is about 1554.4293671019.

The spelling of 3755890980 in words is "three billion, seven hundred fifty-five million, eight hundred ninety thousand, nine hundred eighty".