3313723392 has 288 divisors, whose sum is σ = 11427998400. Its totient is φ = 946003968.

The previous prime is 3313723381. The next prime is 3313723397. The reversal of 3313723392 is 2933273133.

3313723392 is a `hidden beast` number, since 3 + 313 + 7 + 2 + 339 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3313723397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708893 + ... + 2710115.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^3313723392 is an apocalyptic number.

3313723392 is a gapful number since it is divisible by the number (32) 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 3313723392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713999200).

3313723392 is an abundant number, since it is smaller than the sum of its proper divisors (8114275008).

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

3313723392 is a wasteful number, since it uses less digits than its factorization.

3313723392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1235 counting only the distinct ones).

The product of its digits is 61236, while the sum is 36.

The square root of 3313723392 is about 57564.9493355114. The cubic root of 3313723392 is about 1490.8664827872.

The spelling of 3313723392 in words is "three billion, three hundred thirteen million, seven hundred twenty-three thousand, three hundred ninety-two".