3956921280 has 280 divisors, whose sum is σ = 15159484032. Its totient is φ = 973928448.

The previous prime is 3956921279. The next prime is 3956921281. The reversal of 3956921280 is 821296593.

3956921280 is a `hidden beast` number, since 3 + 9 + 569 + 2 + 1 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3956921279) and next prime (3956921281).

It is a super-2 number, since 2×3956921280² = 31314452032233676800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3956921281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331089 + ... + 342831.

Almost surely, 2^3956921280 is an apocalyptic number.

3956921280 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 3956921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579742016).

3956921280 is an abundant number, since it is smaller than the sum of its proper divisors (11202562752).

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

3956921280 is a wasteful number, since it uses less digits than its factorization.

3956921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3956921280 is about 62904.0640976400. The cubic root of 3956921280 is about 1581.6818708612.

The spelling of 3956921280 in words is "three billion, nine hundred fifty-six million, nine hundred twenty-one thousand, two hundred eighty".