3755774880 has 864 divisors, whose sum is σ = 16057222272. Its totient is φ = 790732800.

The previous prime is 3755774879. The next prime is 3755774887. The reversal of 3755774880 is 884775573.

3755774880 is a `hidden beast` number, since 3 + 7 + 557 + 7 + 4 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (3755774887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61570050 + ... + 61570110.

It is an arithmetic number, because the mean of its divisors is an integer number (18584748).

Almost surely, 2^3755774880 is an apocalyptic number.

3755774880 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 3755774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8028611136).

3755774880 is an abundant number, since it is smaller than the sum of its proper divisors (12301447392).

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

3755774880 is a wasteful number, since it uses less digits than its factorization.

3755774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The square root of 3755774880 is about 61284.3771282698. The cubic root of 3755774880 is about 1554.4133503866.

The spelling of 3755774880 in words is "three billion, seven hundred fifty-five million, seven hundred seventy-four thousand, eight hundred eighty".