3455444054400 has 768 divisors, whose sum is σ = 12420095688000. Its totient is φ = 839313653760.

The previous prime is 3455444054399. The next prime is 3455444054401. The reversal of 3455444054400 is 44504445543.

It is an interprime number because it is at equal distance from previous prime (3455444054399) and next prime (3455444054401).

It is a super-2 number, since 2×3455444054400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455444054401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291644474 + ... + 5291645126.

Almost surely, 2^{3455444054400} is an apocalyptic number.

3455444054400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455444054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210047844000).

3455444054400 is an abundant number, since it is smaller than the sum of its proper divisors (8964651633600).

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

3455444054400 is a wasteful number, since it uses less digits than its factorization.

3455444054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

Adding to 3455444054400 its reverse (44504445543), we get a palindrome (3499948499943).

The spelling of 3455444054400 in words is "three trillion, four hundred fifty-five billion, four hundred forty-four million, fifty-four thousand, four hundred".