3346513920 has 480 divisors, whose sum is σ = 12739809600. Its totient is φ = 830472192.

The previous prime is 3346513913. The next prime is 3346513921. The reversal of 3346513920 is 293156433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3346513920² = 22398310833507532800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346513921) 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 31 ways as a sum of consecutive naturals, for example, 37601236 + ... + 37601324.

It is an arithmetic number, because the mean of its divisors is an integer number (26541270).

Almost surely, 2^3346513920 is an apocalyptic number.

3346513920 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 3346513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369904800).

3346513920 is an abundant number, since it is smaller than the sum of its proper divisors (9393295680).

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

3346513920 is an equidigital number, since it uses as much as digits as its factorization.

3346513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

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

The square root of 3346513920 is about 57849.0615308494. The cubic root of 3346513920 is about 1495.7679108438.

It can be divided in two parts, 3346513 and 920, that added together give a palindrome (3347433).

The spelling of 3346513920 in words is "three billion, three hundred forty-six million, five hundred thirteen thousand, nine hundred twenty".