3321341201400 has 96 divisors (see below), whose sum is σ = 10297277122560. Its totient is φ = 885594695040.

The previous prime is 3321341201377. The next prime is 3321341201443. The reversal of 3321341201400 is 41021431233.

It is a happy number.

It is a super-2 number, since 2×3321341201400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5309559 + ... + 5902041.

It is an arithmetic number, because the mean of its divisors is an integer number (107263303360).

Almost surely, 2^{3321341201400} is an apocalyptic number.

3321341201400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3321341201400 is an abundant number, since it is smaller than the sum of its proper divisors (6975935921160).

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

3321341201400 is a wasteful number, since it uses less digits than its factorization.

3321341201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601845 (or 601836 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3321341201400 its reverse (41021431233), we get a palindrome (3362362632633).

The spelling of 3321341201400 in words is "three trillion, three hundred twenty-one billion, three hundred forty-one million, two hundred one thousand, four hundred".