3856427520 has 320 divisors, whose sum is σ = 13576273920. Its totient is φ = 926105600.

The previous prime is 3856427507. The next prime is 3856427539. The reversal of 3856427520 is 257246583.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×3856427520³ (a number of 30 digits) contains 333 as substring.

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, 16135561 + ... + 16135799.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 2^3856427520 is an apocalyptic number.

3856427520 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 3856427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788136960).

3856427520 is an abundant number, since it is smaller than the sum of its proper divisors (9719846400).

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

3856427520 is a wasteful number, since it uses less digits than its factorization.

3856427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 3856427520 is about 62100.1410626417. The cubic root of 3856427520 is about 1568.1769202009.

It can be divided in two parts, 385 and 6427520, that added together give a triangular number (6427905 = T₃₅₈₅).

The spelling of 3856427520 in words is "three billion, eight hundred fifty-six million, four hundred twenty-seven thousand, five hundred twenty".