3736448256 has 144 divisors (see below), whose sum is σ = 10659083904. Its totient is φ = 1158930432.

The previous prime is 3736448171. The next prime is 3736448257. The reversal of 3736448256 is 6528446373.

3736448256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3736448256² = 27922091139530883072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736448257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650710 + ... + 656426.

It is an arithmetic number, because the mean of its divisors is an integer number (74021416).

Almost surely, 2^3736448256 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 3736448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329541952).

3736448256 is an abundant number, since it is smaller than the sum of its proper divisors (6922635648).

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

3736448256 is a wasteful number, since it uses less digits than its factorization.

3736448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796 (or 5782 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The square root of 3736448256 is about 61126.4938958550. The cubic root of 3736448256 is about 1551.7425087400.

The spelling of 3736448256 in words is "three billion, seven hundred thirty-six million, four hundred forty-eight thousand, two hundred fifty-six".