3958677360 has 800 divisors, whose sum is σ = 16420377600. Its totient is φ = 873400320.

The previous prime is 3958677353. The next prime is 3958677367. The reversal of 3958677360 is 637768593.

It is an interprime number because it is at equal distance from previous prime (3958677353) and next prime (3958677367).

It is a super-2 number, since 2×3958677360² = 31342252881153139200, 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 = 3958677297 and 3958677306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958677367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50109801 + ... + 50109879.

It is an arithmetic number, because the mean of its divisors is an integer number (20525472).

Almost surely, 2^3958677360 is an apocalyptic number.

3958677360 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 3958677360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210188800).

3958677360 is an abundant number, since it is smaller than the sum of its proper divisors (12461700240).

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

3958677360 is a wasteful number, since it uses less digits than its factorization.

3958677360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3958677360 is about 62918.0209478970. The cubic root of 3958677360 is about 1581.9158195056.

The spelling of 3958677360 in words is "three billion, nine hundred fifty-eight million, six hundred seventy-seven thousand, three hundred sixty".