3858114240 has 280 divisors, whose sum is σ = 13918813920. Its totient is φ = 1014239232.

The previous prime is 3858114233. The next prime is 3858114263. The reversal of 3858114240 is 424118583.

3858114240 is a `hidden beast` number, since 38 + 581 + 1 + 4 + 2 + 40 = 666.

3858114240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3858114195 and 3858114204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1891141 + ... + 1893179.

Almost surely, 2^3858114240 is an apocalyptic number.

3858114240 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 3858114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959406960).

3858114240 is an abundant number, since it is smaller than the sum of its proper divisors (10060699680).

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

3858114240 is a wasteful number, since it uses less digits than its factorization.

3858114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3858114240 is about 62113.7202234740. The cubic root of 3858114240 is about 1568.4055160383.

The spelling of 3858114240 in words is "three billion, eight hundred fifty-eight million, one hundred fourteen thousand, two hundred forty".