3246289920 has 352 divisors, whose sum is σ = 12050115840. Its totient is φ = 827228160.

The previous prime is 3246289919. The next prime is 3246289933. The reversal of 3246289920 is 299826423.

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 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, 3179010 + ... + 3180030.

Almost surely, 2^3246289920 is an apocalyptic number.

3246289920 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 3246289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025057920).

3246289920 is an abundant number, since it is smaller than the sum of its proper divisors (8803825920).

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

3246289920 is a wasteful number, since it uses less digits than its factorization.

3246289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3246289920 is about 56976.2224090015. Note that the first 3 decimals coincide. The cubic root of 3246289920 is about 1480.6841735672.

The spelling of 3246289920 in words is "three billion, two hundred forty-six million, two hundred eighty-nine thousand, nine hundred twenty".