3838545936 has 75 divisors (see below), whose sum is σ = 11116324813. Its totient is φ = 1278771840.

The previous prime is 3838545899. The next prime is 3838545947. The reversal of 3838545936 is 6395458383.

It is a happy number.

The square root of 3838545936 is 61956.

It is a perfect power (a square), and thus also a powerful number.

3838545936 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 545 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2834923536 + 1003622400 = 53244^2 + 31680^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2229556 + ... + 2231276.

Almost surely, 2^3838545936 is an apocalyptic number.

3838545936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3838545936 is the 61956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838545936

3838545936 is an abundant number, since it is smaller than the sum of its proper divisors (7277778877).

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

3838545936 is an frugal number, since it uses more digits than its factorization.

3838545936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 1726 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The cubic root of 3838545936 is about 1565.7493763717.

The spelling of 3838545936 in words is "three billion, eight hundred thirty-eight million, five hundred forty-five thousand, nine hundred thirty-six".