3322413000 has 192 divisors, whose sum is σ = 11275355520. Its totient is φ = 882384000.

The previous prime is 3322412981. The next prime is 3322413001. The reversal of 3322413000 is 3142233.

3322413000 is a `hidden beast` number, since 3 + 322 + 41 + 300 + 0 = 666.

It is a super-2 number, since 2×3322413000² = 22076856285138000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3322413001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2798407 + ... + 2799593.

It is an arithmetic number, because the mean of its divisors is an integer number (58725810).

Almost surely, 2^3322413000 is an apocalyptic number.

3322413000 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 3322413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637677760).

3322413000 is an abundant number, since it is smaller than the sum of its proper divisors (7952942520).

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

3322413000 is a wasteful number, since it uses less digits than its factorization.

3322413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3322413000 is about 57640.3764734409. The cubic root of 3322413000 is about 1492.1685164019.

Adding to 3322413000 its reverse (3142233), we get a palindrome (3325555233).

It can be divided in two parts, 332241 and 3000, that added together give a square (335241 = 579²).

The spelling of 3322413000 in words is "three billion, three hundred twenty-two million, four hundred thirteen thousand".