3348564748400 has 120 divisors (see below), whose sum is σ = 8253196620240. Its totient is φ = 1304910673920.

The previous prime is 3348564748379. The next prime is 3348564748489. The reversal of 3348564748400 is 48474658433.

It is a happy number.

It is a super-2 number, since 2×3348564748400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6440564 + ... + 6941036.

It is an arithmetic number, because the mean of its divisors is an integer number (68776638502).

Almost surely, 2^{3348564748400} 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 3348564748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126598310120).

3348564748400 is an abundant number, since it is smaller than the sum of its proper divisors (4904631871840).

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

3348564748400 is a wasteful number, since it uses less digits than its factorization.

3348564748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500923 (or 500912 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 56.

The spelling of 3348564748400 in words is "three trillion, three hundred forty-eight billion, five hundred sixty-four million, seven hundred forty-eight thousand, four hundred".