3323661120 has 448 divisors, whose sum is σ = 12781117440. Its totient is φ = 808206336.

The previous prime is 3323661079. The next prime is 3323661139. The reversal of 3323661120 is 211663233.

It is a happy number.

3323661120 is a `hidden beast` number, since 3 + 3 + 23 + 6 + 611 + 20 = 666.

It is a super-2 number, since 2×3323661120² = 22093446481199308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 14264524 + ... + 14264756.

It is an arithmetic number, because the mean of its divisors is an integer number (28529280).

Almost surely, 2^3323661120 is an apocalyptic number.

3323661120 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 3323661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3323661120 is an abundant number, since it is smaller than the sum of its proper divisors (9457456320).

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

3323661120 is a wasteful number, since it uses less digits than its factorization.

3323661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3323661120 is about 57651.2022424511. The cubic root of 3323661120 is about 1492.3553456936.

The spelling of 3323661120 in words is "three billion, three hundred twenty-three million, six hundred sixty-one thousand, one hundred twenty".