3951110016 has 448 divisors, whose sum is σ = 14127505920. Its totient is φ = 1075700736.

The previous prime is 3951110011. The next prime is 3951110047. The reversal of 3951110016 is 6100111593.

3951110016 is a `hidden beast` number, since 39 + 511 + 100 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3951110016² = 31222540717071040512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3951110011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15023101 + ... + 15023363.

Almost surely, 2^3951110016 is an apocalyptic number.

3951110016 is a gapful number since it is divisible by the number (36) 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 3951110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063752960).

3951110016 is an abundant number, since it is smaller than the sum of its proper divisors (10176395904).

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

3951110016 is an equidigital number, since it uses as much as digits as its factorization.

3951110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 3951110016 is about 62857.8556427118. The cubic root of 3951110016 is about 1580.9071882549.

The spelling of 3951110016 in words is "three billion, nine hundred fifty-one million, one hundred ten thousand, sixteen".