3755062080 has 1008 divisors, whose sum is σ = 17074774080. Its totient is φ = 748339200.

The previous prime is 3755062067. The next prime is 3755062081. The reversal of 3755062080 is 802605573.

3755062080 is a `hidden beast` number, since 3 + 7 + 550 + 6 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3755062081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63645091 + ... + 63645149.

It is an arithmetic number, because the mean of its divisors is an integer number (16939260).

Almost surely, 2^3755062080 is an apocalyptic number.

3755062080 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 3755062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537387040).

3755062080 is an abundant number, since it is smaller than the sum of its proper divisors (13319712000).

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

3755062080 is a wasteful number, since it uses less digits than its factorization.

3755062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3755062080 is about 61278.5613408148. The cubic root of 3755062080 is about 1554.3150079697.

The spelling of 3755062080 in words is "three billion, seven hundred fifty-five million, sixty-two thousand, eighty".