3332013300 has 864 divisors, whose sum is σ = 14185758720. Its totient is φ = 655776000.

The previous prime is 3332013271. The next prime is 3332013313. The reversal of 3332013300 is 33102333.

3332013300 is a `hidden beast` number, since 3 + 332 + 0 + 1 + 330 + 0 = 666.

It is a super-2 number, since 2×3332013300² = 22204625262753780000, which contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 70893877 + ... + 70893923.

Almost surely, 2^3332013300 is an apocalyptic number.

3332013300 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 3332013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092879360).

3332013300 is an abundant number, since it is smaller than the sum of its proper divisors (10853745420).

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

3332013300 is a wasteful number, since it uses less digits than its factorization.

3332013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3332013300 is about 57723.5939629542. The cubic root of 3332013300 is about 1493.6043693625.

Adding to 3332013300 its reverse (33102333), we get a palindrome (3365115633).

The spelling of 3332013300 in words is "three billion, three hundred thirty-two million, thirteen thousand, three hundred".