3833256960 has 616 divisors, whose sum is σ = 15035133120. Its totient is φ = 931627008.

The previous prime is 3833256949. The next prime is 3833256971. The reversal of 3833256960 is 696523383.

3833256960 is a `hidden beast` number, since 3 + 83 + 3 + 2 + 569 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3833256949) and next prime (3833256971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48522201 + ... + 48522279.

Almost surely, 2^3833256960 is an apocalyptic number.

3833256960 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 3833256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517566560).

3833256960 is an abundant number, since it is smaller than the sum of its proper divisors (11201876160).

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

3833256960 is an equidigital number, since it uses as much as digits as its factorization.

3833256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3833256960 is about 61913.3019633100. The cubic root of 3833256960 is about 1565.0299184160.

The spelling of 3833256960 in words is "three billion, eight hundred thirty-three million, two hundred fifty-six thousand, nine hundred sixty".