3838261896 has 512 divisors, whose sum is σ = 13833216000. Its totient is φ = 960740352.

The previous prime is 3838261883. The next prime is 3838261957. The reversal of 3838261896 is 6981628383.

It is a happy number.

3838261896 is a `hidden beast` number, since 383 + 82 + 6 + 189 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24447450 + ... + 24447606.

It is an arithmetic number, because the mean of its divisors is an integer number (27018000).

Almost surely, 2^3838261896 is an apocalyptic number.

3838261896 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 3838261896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916608000).

3838261896 is an abundant number, since it is smaller than the sum of its proper divisors (9994954104).

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

3838261896 is a wasteful number, since it uses less digits than its factorization.

3838261896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3838261896 is about 61953.7076856583. The cubic root of 3838261896 is about 1565.7107552870.

The spelling of 3838261896 in words is "three billion, eight hundred thirty-eight million, two hundred sixty-one thousand, eight hundred ninety-six".