3321041400 has 72 divisors (see below), whose sum is σ = 11153170080. Its totient is φ = 885610560.

The previous prime is 3321041389. The next prime is 3321041413. The reversal of 3321041400 is 41401233.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3321041400² = 22058631961027920000, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 920712 + ... + 924311.

It is an arithmetic number, because the mean of its divisors is an integer number (154905140).

Almost surely, 2^3321041400 is an apocalyptic number.

3321041400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3321041400 is an abundant number, since it is smaller than the sum of its proper divisors (7832128680).

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

3321041400 is a wasteful number, since it uses less digits than its factorization.

3321041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845045 (or 1845033 counting only the distinct ones).

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

The square root of 3321041400 is about 57628.4773354285. The cubic root of 3321041400 is about 1491.9631495953.

Adding to 3321041400 its reverse (41401233), we get a palindrome (3362442633).

The spelling of 3321041400 in words is "three billion, three hundred twenty-one million, forty-one thousand, four hundred".