3107414016 has 336 divisors, whose sum is σ = 10686434304. Its totient is φ = 883851264.

The previous prime is 3107413999. The next prime is 3107414017. The reversal of 3107414016 is 6104147013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 (3107414017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934481 + ... + 13934703.

It is an arithmetic number, because the mean of its divisors is an integer number (31804864).

Almost surely, 2^3107414016 is an apocalyptic number.

3107414016 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 3107414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343217152).

3107414016 is an abundant number, since it is smaller than the sum of its proper divisors (7579020288).

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

3107414016 is an frugal number, since it uses more digits than its factorization.

3107414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3107414016 is about 55744.1836965974. The cubic root of 3107414016 is about 1459.2612162684.

The spelling of 3107414016 in words is "three billion, one hundred seven million, four hundred fourteen thousand, sixteen".