3854867520 has 224 divisors, whose sum is σ = 14044013568. Its totient is φ = 877565952.

The previous prime is 3854867509. The next prime is 3854867531. The reversal of 3854867520 is 257684583.

It is an interprime number because it is at equal distance from previous prime (3854867509) and next prime (3854867531).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3854867520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1900747 + ... + 1902773.

Almost surely, 2^3854867520 is an apocalyptic number.

3854867520 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 3854867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022006784).

3854867520 is an abundant number, since it is smaller than the sum of its proper divisors (10189146048).

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

3854867520 is a wasteful number, since it uses less digits than its factorization.

3854867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 3854867520 is about 62087.5794342153. The cubic root of 3854867520 is about 1567.9654389856.

The spelling of 3854867520 in words is "three billion, eight hundred fifty-four million, eight hundred sixty-seven thousand, five hundred twenty".