3837915648 has 320 divisors, whose sum is σ = 13753048320. Its totient is φ = 1031602176.

The previous prime is 3837915647. The next prime is 3837915667. The reversal of 3837915648 is 8465197383.

3837915648 is a `hidden beast` number, since 3 + 8 + 3 + 79 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×3837915648³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3837915594 and 3837915603.

It is not an unprimeable number, because it can be changed into a prime (3837915643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643890 + ... + 1646222.

It is an arithmetic number, because the mean of its divisors is an integer number (42978276).

Almost surely, 2^3837915648 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 3837915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876524160).

3837915648 is an abundant number, since it is smaller than the sum of its proper divisors (9915132672).

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

3837915648 is a wasteful number, since it uses less digits than its factorization.

3837915648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2362 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3837915648 is about 61950.9132136081. The cubic root of 3837915648 is about 1565.6636731671.

The spelling of 3837915648 in words is "three billion, eight hundred thirty-seven million, nine hundred fifteen thousand, six hundred forty-eight".