3321014400 has 432 divisors, whose sum is σ = 13039028730. Its totient is φ = 804249600.

The previous prime is 3321014371. The next prime is 3321014401. The reversal of 3321014400 is 44101233.

It can be written as a sum of positive squares in 3 ways, for example, as 2334049344 + 986965056 = 48312^2 + 31416^2 .

It is a super-2 number, since 2×3321014400² = 22058273290014720000, 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 (3321014401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3484324 + ... + 3485276.

Almost surely, 2^3321014400 is an apocalyptic number.

3321014400 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 3321014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519514365).

3321014400 is an abundant number, since it is smaller than the sum of its proper divisors (9718014330).

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

3321014400 is a wasteful number, since it uses less digits than its factorization.

3321014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3321014400 is about 57628.2430757697. The cubic root of 3321014400 is about 1491.9591063741.

Adding to 3321014400 its reverse (44101233), we get a palindrome (3365115633).

The spelling of 3321014400 in words is "three billion, three hundred twenty-one million, fourteen thousand, four hundred".