3468845520 has 320 divisors, whose sum is σ = 13882682880. Its totient is φ = 779673600.

The previous prime is 3468845491. The next prime is 3468845551. The reversal of 3468845520 is 255488643.

3468845520 is a `hidden beast` number, since 3 + 4 + 6 + 88 + 45 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 920440 + ... + 924200.

It is an arithmetic number, because the mean of its divisors is an integer number (43383384).

Almost surely, 2^3468845520 is an apocalyptic number.

3468845520 is a gapful number since it is divisible by the number (30) 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 3468845520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941341440).

3468845520 is an abundant number, since it is smaller than the sum of its proper divisors (10413837360).

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

3468845520 is a wasteful number, since it uses less digits than its factorization.

3468845520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3468845520 is about 58896.9058610043. The cubic root of 3468845520 is about 1513.7761314738.

It can be divided in two parts, 34688 and 45520, that added together give a palindrome (80208).

The spelling of 3468845520 in words is "three billion, four hundred sixty-eight million, eight hundred forty-five thousand, five hundred twenty".