3911806971072 has 3024 divisors, whose sum is σ = 16804992649536. Its totient is φ = 858370867200.

The previous prime is 3911806971053. The next prime is 3911806971073. The reversal of 3911806971072 is 2701796081193.

It is a happy number.

3911806971072 is a `hidden beast` number, since 391 + 180 + 6 + 9 + 7 + 1 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3911806971073) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 53586396828 + ... + 53586396900.

It is an arithmetic number, because the mean of its divisors is an integer number (5557206564).

Almost surely, 2^{3911806971072} is an apocalyptic number.

3911806971072 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 3911806971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402496324768).

3911806971072 is an abundant number, since it is smaller than the sum of its proper divisors (12893185678464).

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

3911806971072 is a wasteful number, since it uses less digits than its factorization.

3911806971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 3911806971072 in words is "three trillion, nine hundred eleven billion, eight hundred six million, nine hundred seventy-one thousand, seventy-two".