3221613000 has 320 divisors, whose sum is σ = 11633656320. Its totient is φ = 830736000.

The previous prime is 3221612993. The next prime is 3221613029. The reversal of 3221613000 is 3161223.

3221613000 is a `hidden beast` number, since 32 + 21 + 613 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2510359 + ... + 2511641.

It is an arithmetic number, because the mean of its divisors is an integer number (36355176).

Almost surely, 2^3221613000 is an apocalyptic number.

3221613000 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 3221613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816828160).

3221613000 is an abundant number, since it is smaller than the sum of its proper divisors (8412043320).

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

3221613000 is a wasteful number, since it uses less digits than its factorization.

3221613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3221613000 is about 56759.2547519786. The cubic root of 3221613000 is about 1476.9227820763.

Adding to 3221613000 its reverse (3161223), we get a palindrome (3224774223).

The spelling of 3221613000 in words is "three billion, two hundred twenty-one million, six hundred thirteen thousand".