3939258960 has 640 divisors, whose sum is σ = 17082240000. Its totient is φ = 829108224.

The previous prime is 3939258943. The next prime is 3939258977. The reversal of 3939258960 is 698529393.

It is an interprime number because it is at equal distance from previous prime (3939258943) and next prime (3939258977).

It is a super-2 number, since 2×3939258960² = 31035522307880563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3939258897 and 3939258906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9631236 + ... + 9631644.

It is an arithmetic number, because the mean of its divisors is an integer number (26691000).

Almost surely, 2^3939258960 is an apocalyptic number.

3939258960 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 3939258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541120000).

3939258960 is an abundant number, since it is smaller than the sum of its proper divisors (13142981040).

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

3939258960 is a wasteful number, since it uses less digits than its factorization.

3939258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 3939258960 is about 62763.5161538931. The cubic root of 3939258960 is about 1579.3250014226.

The spelling of 3939258960 in words is "three billion, nine hundred thirty-nine million, two hundred fifty-eight thousand, nine hundred sixty".