3736248048 has 120 divisors (see below), whose sum is σ = 11445586880. Its totient is φ = 1130734080.

The previous prime is 3736248017. The next prime is 3736248073. The reversal of 3736248048 is 8408426373.

3736248048 is a `hidden beast` number, since 3 + 73 + 62 + 480 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3736247994 and 3736248012.

It is a congruent number.

It is an unprimeable number.

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, 97833 + ... + 130551.

Almost surely, 2^3736248048 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 3736248048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722793440).

3736248048 is an abundant number, since it is smaller than the sum of its proper divisors (7709338832).

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

3736248048 is a wasteful number, since it uses less digits than its factorization.

3736248048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32807 (or 32798 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3736248048 is about 61124.8562206898. The cubic root of 3736248048 is about 1551.7147928637.

The spelling of 3736248048 in words is "three billion, seven hundred thirty-six million, two hundred forty-eight thousand, forty-eight".