3755344560 has 320 divisors, whose sum is σ = 13259151360. Its totient is φ = 870912000.

The previous prime is 3755344543. The next prime is 3755344609. The reversal of 3755344560 is 654435573.

3755344560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3755344560² = 28205225528643187200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13857225 + ... + 13857495.

It is an arithmetic number, because the mean of its divisors is an integer number (41434848).

Almost surely, 2^3755344560 is an apocalyptic number.

3755344560 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 3755344560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629575680).

3755344560 is an abundant number, since it is smaller than the sum of its proper divisors (9503806800).

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

3755344560 is a wasteful number, since it uses less digits than its factorization.

3755344560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The square root of 3755344560 is about 61280.8661818679. The cubic root of 3755344560 is about 1554.3539821939.

The spelling of 3755344560 in words is "three billion, seven hundred fifty-five million, three hundred forty-four thousand, five hundred sixty".