3468183520 has 48 divisors (see below), whose sum is σ = 8215346160. Its totient is φ = 1383588864.

The previous prime is 3468183517. The next prime is 3468183527. The reversal of 3468183520 is 253818643.

3468183520 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468183527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32044 + ... + 89236.

It is an arithmetic number, because the mean of its divisors is an integer number (171153045).

Almost surely, 2^3468183520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468183520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107673080).

3468183520 is an abundant number, since it is smaller than the sum of its proper divisors (4747162640).

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

3468183520 is a wasteful number, since it uses less digits than its factorization.

3468183520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57587 (or 57579 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 3468183520 is about 58891.2856032198. The cubic root of 3468183520 is about 1513.6798281986.

The spelling of 3468183520 in words is "three billion, four hundred sixty-eight million, one hundred eighty-three thousand, five hundred twenty".