3755259648 has 648 divisors, whose sum is σ = 13813188480. Its totient is φ = 975421440.

The previous prime is 3755259647. The next prime is 3755259653. The reversal of 3755259648 is 8469525573.

3755259648 is a `hidden beast` number, since 3 + 7 + 5 + 5 + 2 + 596 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3755259594 and 3755259603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3755259647) 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 71 ways as a sum of consecutive naturals, for example, 101493486 + ... + 101493522.

Almost surely, 2^3755259648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3755259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906594240).

3755259648 is an abundant number, since it is smaller than the sum of its proper divisors (10057928832).

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

3755259648 is a wasteful number, since it uses less digits than its factorization.

3755259648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 3755259648 is about 61280.1733679010. The cubic root of 3755259648 is about 1554.3422669529.

The spelling of 3755259648 in words is "three billion, seven hundred fifty-five million, two hundred fifty-nine thousand, six hundred forty-eight".