3493163520 has 720 divisors, whose sum is σ = 15282146880. Its totient is φ = 721797120.

The previous prime is 3493163503. The next prime is 3493163567. The reversal of 3493163520 is 253613943.

It is a happy number.

3493163520 is a `hidden beast` number, since 3 + 49 + 31 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19514791 + ... + 19514969.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^3493163520 is an apocalyptic number.

3493163520 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 3493163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

3493163520 is an abundant number, since it is smaller than the sum of its proper divisors (11788983360).

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

3493163520 is a wasteful number, since it uses less digits than its factorization.

3493163520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3493163520 is about 59102.9907872690. The cubic root of 3493163520 is about 1517.3052901814.

It can be divided in two parts, 349316 and 3520, that added together give a square (352836 = 594²).

The spelling of 3493163520 in words is "three billion, four hundred ninety-three million, one hundred sixty-three thousand, five hundred twenty".