3956117760 has 864 divisors, whose sum is σ = 17142128640. Its totient is φ = 853991424.

The previous prime is 3956117749. The next prime is 3956117771. The reversal of 3956117760 is 677116593.

3956117760 is a `hidden beast` number, since 3 + 9 + 561 + 17 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3956117749) and next prime (3956117771).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50077401 + ... + 50077479.

Almost surely, 2^3956117760 is an apocalyptic number.

3956117760 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 3956117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571064320).

3956117760 is an abundant number, since it is smaller than the sum of its proper divisors (13186010880).

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

3956117760 is an equidigital number, since it uses as much as digits as its factorization.

3956117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 3956117760 is about 62897.6769046362. The cubic root of 3956117760 is about 1581.5748011671.

The spelling of 3956117760 in words is "three billion, nine hundred fifty-six million, one hundred seventeen thousand, seven hundred sixty".