3512918016 has 336 divisors, whose sum is σ = 11040831360. Its totient is φ = 1073479680.

The previous prime is 3512918011. The next prime is 3512918023. The reversal of 3512918016 is 6108192153.

3512918016 is a `hidden beast` number, since 351 + 291 + 8 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3512918011) 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, 66281446 + ... + 66281498.

Almost surely, 2^3512918016 is an apocalyptic number.

3512918016 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 3512918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520415680).

3512918016 is an abundant number, since it is smaller than the sum of its proper divisors (7527913344).

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

3512918016 is a wasteful number, since it uses less digits than its factorization.

3512918016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 3512918016 is about 59269.8744388749. The cubic root of 3512918016 is about 1520.1601308675.

The spelling of 3512918016 in words is "three billion, five hundred twelve million, nine hundred eighteen thousand, sixteen".