3838257756 has 144 divisors (see below), whose sum is σ = 10763311104. Its totient is φ = 1147120128.

The previous prime is 3838257749. The next prime is 3838257757. The reversal of 3838257756 is 6577528383.

3838257756 is a `hidden beast` number, since 38 + 38 + 2 + 577 + 5 + 6 = 666.

3838257756 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838257757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5165521 + ... + 5166263.

It is an arithmetic number, because the mean of its divisors is an integer number (74745216).

Almost surely, 2^3838257756 is an apocalyptic number.

3838257756 is a gapful number since it is divisible by the number (36) 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 3838257756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381655552).

3838257756 is an abundant number, since it is smaller than the sum of its proper divisors (6925053348).

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

3838257756 is a wasteful number, since it uses less digits than its factorization.

3838257756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1155 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 3838257756 is about 61953.6742736054. The cubic root of 3838257756 is about 1565.7101923547.

The spelling of 3838257756 in words is "three billion, eight hundred thirty-eight million, two hundred fifty-seven thousand, seven hundred fifty-six".