3956420160 has 896 divisors, whose sum is σ = 18375782400. Its totient is φ = 776355840.

The previous prime is 3956420137. The next prime is 3956420203. The reversal of 3956420160 is 610246593.

It is a happy number.

3956420160 is a `hidden beast` number, since 3 + 9 + 5 + 642 + 0 + 1 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12640164 + ... + 12640476.

Almost surely, 2^3956420160 is an apocalyptic number.

3956420160 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 3956420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187891200).

3956420160 is an abundant number, since it is smaller than the sum of its proper divisors (14419362240).

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

3956420160 is a wasteful number, since it uses less digits than its factorization.

3956420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3956420160 is about 62900.0807630642. The cubic root of 3956420160 is about 1581.6150979145.

The spelling of 3956420160 in words is "three billion, nine hundred fifty-six million, four hundred twenty thousand, one hundred sixty".