3961101312 has 352 divisors, whose sum is σ = 13609111040. Its totient is φ = 1114767360.

The previous prime is 3961101299. The next prime is 3961101367. The reversal of 3961101312 is 2131011693.

3961101312 is a `hidden beast` number, since 39 + 611 + 0 + 1 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18772887 + ... + 18773097.

Almost surely, 2^3961101312 is an apocalyptic number.

3961101312 is a gapful number since it is divisible by the number (32) 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 3961101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804555520).

3961101312 is an abundant number, since it is smaller than the sum of its proper divisors (9648009728).

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

3961101312 is a wasteful number, since it uses less digits than its factorization.

3961101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 3961101312 is about 62937.2807801545. The cubic root of 3961101312 is about 1582.2386298195.

The spelling of 3961101312 in words is "three billion, nine hundred sixty-one million, one hundred one thousand, three hundred twelve".