3850767648 has 768 divisors, whose sum is σ = 15200317440. Its totient is φ = 919683072.

The previous prime is 3850767607. The next prime is 3850767667. The reversal of 3850767648 is 8467670583.

3850767648 is a `hidden beast` number, since 38 + 507 + 67 + 6 + 48 = 666.

It is a super-2 number, since 2×3850767648² = 29656822957766903808, which contains 22 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 = 3850767594 and 3850767603.

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, 57474111 + ... + 57474177.

It is an arithmetic number, because the mean of its divisors is an integer number (19792080).

Almost surely, 2^3850767648 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 3850767648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600158720).

3850767648 is an abundant number, since it is smaller than the sum of its proper divisors (11349549792).

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

3850767648 is a wasteful number, since it uses less digits than its factorization.

3850767648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 3850767648 is about 62054.5538055025. The cubic root of 3850767648 is about 1567.4093681716.

The spelling of 3850767648 in words is "three billion, eight hundred fifty million, seven hundred sixty-seven thousand, six hundred forty-eight".