3837764040 has 128 divisors (see below), whose sum is σ = 12965253120. Its totient is φ = 900345600.

The previous prime is 3837764033. The next prime is 3837764057. The reversal of 3837764040 is 404677383.

It is a junction number, because it is equal to n+sod(n) for n = 3837763983 and 3837764001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5974 + ... + 87813.

It is an arithmetic number, because the mean of its divisors is an integer number (101291040).

Almost surely, 2^3837764040 is an apocalyptic number.

3837764040 is a gapful number since it is divisible by the number (30) 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 3837764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482626560).

3837764040 is an abundant number, since it is smaller than the sum of its proper divisors (9127489080).

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

3837764040 is a wasteful number, since it uses less digits than its factorization.

3837764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93843 (or 93839 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 3837764040 is about 61949.6895876000. The cubic root of 3837764040 is about 1565.6430569190.

The spelling of 3837764040 in words is "three billion, eight hundred thirty-seven million, seven hundred sixty-four thousand, forty".