3468340512 has 384 divisors, whose sum is σ = 12861112320. Its totient is φ = 884597760.

The previous prime is 3468340489. The next prime is 3468340517. The reversal of 3468340512 is 2150438643.

3468340512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3468340517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2436633 + ... + 2438055.

It is an arithmetic number, because the mean of its divisors is an integer number (33492480).

Almost surely, 2^3468340512 is an apocalyptic number.

3468340512 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 3468340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6430556160).

3468340512 is an abundant number, since it is smaller than the sum of its proper divisors (9392771808).

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

3468340512 is a wasteful number, since it uses less digits than its factorization.

3468340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3468340512 is about 58892.6184848322. The cubic root of 3468340512 is about 1513.7026674396.

The spelling of 3468340512 in words is "three billion, four hundred sixty-eight million, three hundred forty thousand, five hundred twelve".