3333252000 has 384 divisors, whose sum is σ = 12284213760. Its totient is φ = 783974400.

The previous prime is 3333251983. The next prime is 3333252089. The reversal of 3333252000 is 2523333.

It is a super-2 number, since 2×3333252000² = 22221137791008000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3587536 + ... + 3588464.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^3333252000 is an apocalyptic number.

3333252000 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 3333252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

3333252000 is an abundant number, since it is smaller than the sum of its proper divisors (8950961760).

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

3333252000 is a wasteful number, since it uses less digits than its factorization.

3333252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 21.

The square root of 3333252000 is about 57734.3225473375. The cubic root of 3333252000 is about 1493.7894325007.

Adding to 3333252000 its reverse (2523333), we get a palindrome (3335775333).

The spelling of 3333252000 in words is "three billion, three hundred thirty-three million, two hundred fifty-two thousand".