3332010000 has 400 divisors, whose sum is σ = 12272071680. Its totient is φ = 770880000.

The previous prime is 3332009981. The next prime is 3332010007. The reversal of 3332010000 is 102333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3332010000² = 22204581280200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3332010007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7589781 + ... + 7590219.

Almost surely, 2^3332010000 is an apocalyptic number.

3332010000 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 3332010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136035840).

3332010000 is an abundant number, since it is smaller than the sum of its proper divisors (8940061680).

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

3332010000 is a wasteful number, since it uses less digits than its factorization.

3332010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3332010000 is about 57723.5653784483. The cubic root of 3332010000 is about 1493.6038762776.

Adding to 3332010000 its reverse (102333), we get a palindrome (3332112333).

The spelling of 3332010000 in words is "three billion, three hundred thirty-two million, ten thousand".