3468512016 has 360 divisors, whose sum is σ = 11128990080. Its totient is φ = 1043041536.

The previous prime is 3468512009. The next prime is 3468512029. The reversal of 3468512016 is 6102158643.

It is a happy number.

3468512016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73798105 + ... + 73798151.

Almost surely, 2^3468512016 is an apocalyptic number.

3468512016 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 3468512016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564495040).

3468512016 is an abundant number, since it is smaller than the sum of its proper divisors (7660478064).

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

3468512016 is an equidigital number, since it uses as much as digits as its factorization.

3468512016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3468512016 is about 58894.0745406531. The cubic root of 3468512016 is about 1513.7276171029.

The spelling of 3468512016 in words is "three billion, four hundred sixty-eight million, five hundred twelve thousand, sixteen".