3856958160 has 160 divisors (see below), whose sum is σ = 13125017088. Its totient is φ = 929180160.

The previous prime is 3856958051. The next prime is 3856958173. The reversal of 3856958160 is 618596583.

It is a super-2 number, since 2×3856958160² = 29752252495981171200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425839 + ... + 434801.

Almost surely, 2^3856958160 is an apocalyptic number.

3856958160 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 3856958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562508544).

3856958160 is an abundant number, since it is smaller than the sum of its proper divisors (9268058928).

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

3856958160 is a wasteful number, since it uses less digits than its factorization.

3856958160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9153 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 3856958160 is about 62104.4133697437. The cubic root of 3856958160 is about 1568.2488433501.

The spelling of 3856958160 in words is "three billion, eight hundred fifty-six million, nine hundred fifty-eight thousand, one hundred sixty".