3834906768 has 400 divisors, whose sum is σ = 14035101696. Its totient is φ = 981953280.

The previous prime is 3834906689. The next prime is 3834906769. The reversal of 3834906768 is 8676094383.

3834906768 is a `hidden beast` number, since 3 + 83 + 490 + 6 + 76 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3834906769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8282505 + ... + 8282967.

Almost surely, 2^3834906768 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 3834906768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7017550848).

3834906768 is an abundant number, since it is smaller than the sum of its proper divisors (10200194928).

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

3834906768 is a wasteful number, since it uses less digits than its factorization.

3834906768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3834906768 is about 61926.6240642908. The cubic root of 3834906768 is about 1565.2544123273.

The spelling of 3834906768 in words is "three billion, eight hundred thirty-four million, nine hundred six thousand, seven hundred sixty-eight".