3865951590 has 64 divisors (see below), whose sum is σ = 9530631936. Its totient is φ = 1003254912.

The previous prime is 3865951559. The next prime is 3865951591. The reversal of 3865951590 is 951595683.

It is a super-3 number, since 3×3865951590³ (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3865951591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155244 + ... + 178416.

It is an arithmetic number, because the mean of its divisors is an integer number (148916124).

Almost surely, 2^3865951590 is an apocalyptic number.

3865951590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3865951590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765315968).

3865951590 is an abundant number, since it is smaller than the sum of its proper divisors (5664680346).

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

3865951590 is a wasteful number, since it uses less digits than its factorization.

3865951590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23333.

The product of its (nonzero) digits is 1458000, while the sum is 51.

The square root of 3865951590 is about 62176.7769348010. The cubic root of 3865951590 is about 1569.4668142263.

The spelling of 3865951590 in words is "three billion, eight hundred sixty-five million, nine hundred fifty-one thousand, five hundred ninety".