3956957760 has 448 divisors, whose sum is σ = 14966899200. Its totient is φ = 885104640.

The previous prime is 3956957747. The next prime is 3956957813. The reversal of 3956957760 is 677596593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 3956957760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20085982 + ... + 20086178.

Almost surely, 2^3956957760 is an apocalyptic number.

3956957760 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 3956957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483449600).

3956957760 is an abundant number, since it is smaller than the sum of its proper divisors (11009941440).

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

3956957760 is a wasteful number, since it uses less digits than its factorization.

3956957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 57.

The square root of 3956957760 is about 62904.3540623382. The cubic root of 3956957760 is about 1581.6867315069.

The spelling of 3956957760 in words is "three billion, nine hundred fifty-six million, nine hundred fifty-seven thousand, seven hundred sixty".