3865417920 has 840 divisors, whose sum is σ = 17091970896. Its totient is φ = 796594176.

The previous prime is 3865417901. The next prime is 3865417937. The reversal of 3865417920 is 297145683.

3865417920 is a `hidden beast` number, since 3 + 86 + 541 + 7 + 9 + 20 = 666.

3865417920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

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

3865417920 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89893419 + ... + 89893461.

It is a 1-persistent number, because it is pandigital, but 2⋅3865417920 = 7730835840 is not.

Almost surely, 2^3865417920 is an apocalyptic number.

3865417920 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 3865417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545985448).

3865417920 is an abundant number, since it is smaller than the sum of its proper divisors (13226552976).

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

3865417920 is a wasteful number, since it uses less digits than its factorization.

3865417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3865417920 is about 62172.4852326172. The cubic root of 3865417920 is about 1569.3945926030.

The spelling of 3865417920 in words is "three billion, eight hundred sixty-five million, four hundred seventeen thousand, nine hundred twenty".