3315949920 has 384 divisors, whose sum is σ = 12410496000. Its totient is φ = 824463360.

The previous prime is 3315949891. The next prime is 3315949921. The reversal of 3315949920 is 299495133.

3315949920 is a `hidden beast` number, since 3 + 3 + 159 + 499 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3315949921) 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 63 ways as a sum of consecutive naturals, for example, 5827396 + ... + 5827964.

It is an arithmetic number, because the mean of its divisors is an integer number (32319000).

Almost surely, 2^3315949920 is an apocalyptic number.

3315949920 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 3315949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248000).

3315949920 is an abundant number, since it is smaller than the sum of its proper divisors (9094546080).

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

3315949920 is a wasteful number, since it uses less digits than its factorization.

3315949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3315949920 is about 57584.2853563366. The cubic root of 3315949920 is about 1491.2003180125.

The spelling of 3315949920 in words is "three billion, three hundred fifteen million, nine hundred forty-nine thousand, nine hundred twenty".