3453155334400 has 216 divisors, whose sum is σ = 9006845365280. Its totient is φ = 1307124449280.

The previous prime is 3453155334359. The next prime is 3453155334479. The reversal of 3453155334400 is 44335513543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113924047 + ... + 113954353.

Almost surely, 2^{3453155334400} 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 3453155334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503422682640).

3453155334400 is an abundant number, since it is smaller than the sum of its proper divisors (5553690030880).

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

3453155334400 is a wasteful number, since it uses less digits than its factorization.

3453155334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31289 (or 31270 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 3453155334400 in words is "three trillion, four hundred fifty-three billion, one hundred fifty-five million, three hundred thirty-four thousand, four hundred".