3956194789560 has 576 divisors, whose sum is σ = 14443231551840. Its totient is φ = 933497395200.

The previous prime is 3956194789427. The next prime is 3956194789621. The reversal of 3956194789560 is 659874916593.

3956194789560 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 1 + 9 + 478 + 95 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 481226250 + ... + 481234470.

Almost surely, 2^{3956194789560} is an apocalyptic number.

3956194789560 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 3956194789560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221615775920).

3956194789560 is an abundant number, since it is smaller than the sum of its proper divisors (10487036762280).

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

3956194789560 is a wasteful number, since it uses less digits than its factorization.

3956194789560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 3956194789560 in words is "three trillion, nine hundred fifty-six billion, one hundred ninety-four million, seven hundred eighty-nine thousand, five hundred sixty".