3406853520 has 800 divisors, whose sum is σ = 14691916800. Its totient is φ = 714396672.

The previous prime is 3406853509. The next prime is 3406853521. The reversal of 3406853520 is 253586043.

It is a happy number.

3406853520 is a `hidden beast` number, since 3 + 40 + 68 + 535 + 20 = 666.

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 (3406853521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50848527 + ... + 50848593.

It is an arithmetic number, because the mean of its divisors is an integer number (18364896).

Almost surely, 2^3406853520 is an apocalyptic number.

3406853520 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 3406853520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345958400).

3406853520 is an abundant number, since it is smaller than the sum of its proper divisors (11285063280).

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

3406853520 is a wasteful number, since it uses less digits than its factorization.

3406853520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3406853520 is about 58368.2578119306. The cubic root of 3406853520 is about 1504.7042711323.

The spelling of 3406853520 in words is "three billion, four hundred six million, eight hundred fifty-three thousand, five hundred twenty".