3349326556400 has 240 divisors, whose sum is σ = 9305648686080. Its totient is φ = 1144937164800.

The previous prime is 3349326556399. The next prime is 3349326556409. The reversal of 3349326556400 is 46556239433.

It is a super-2 number, since 2×3349326556400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349326556409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64227137 + ... + 64279263.

It is an arithmetic number, because the mean of its divisors is an integer number (38773536192).

Almost surely, 2^{3349326556400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349326556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652824343040).

3349326556400 is an abundant number, since it is smaller than the sum of its proper divisors (5956322129680).

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

3349326556400 is a wasteful number, since it uses less digits than its factorization.

3349326556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53032 (or 53021 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 50.

The spelling of 3349326556400 in words is "three trillion, three hundred forty-nine billion, three hundred twenty-six million, five hundred fifty-six thousand, four hundred".