3313152000 has 312 divisors, whose sum is σ = 11960170560. Its totient is φ = 882278400.

The previous prime is 3313151969. The next prime is 3313152041. The reversal of 3313152000 is 2513133.

3313152000 is a `hidden beast` number, since 331 + 315 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607641 + ... + 4608359.

It is an arithmetic number, because the mean of its divisors is an integer number (38333880).

Almost surely, 2^3313152000 is an apocalyptic number.

3313152000 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 3313152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980085280).

3313152000 is an abundant number, since it is smaller than the sum of its proper divisors (8647018560).

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

3313152000 is an equidigital number, since it uses as much as digits as its factorization.

3313152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 3313152000 is about 57559.9861014577. The cubic root of 3313152000 is about 1490.7807868244.

Adding to 3313152000 its reverse (2513133), we get a palindrome (3315665133).

The spelling of 3313152000 in words is "three billion, three hundred thirteen million, one hundred fifty-two thousand".