3455100734400 has 1008 divisors, whose sum is σ = 14637929779200. Its totient is φ = 756316569600.

The previous prime is 3455100734399. The next prime is 3455100734419. The reversal of 3455100734400 is 44370015543.

3455100734400 is a `hidden beast` number, since 3 + 45 + 5 + 100 + 73 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303099901 + ... + 303111299.

Almost surely, 2^{3455100734400} is an apocalyptic number.

3455100734400 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 3455100734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318964889600).

3455100734400 is an abundant number, since it is smaller than the sum of its proper divisors (11182829044800).

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

3455100734400 is a wasteful number, since it uses less digits than its factorization.

3455100734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 3455100734400 its reverse (44370015543), we get a palindrome (3499470749943).

The spelling of 3455100734400 in words is "three trillion, four hundred fifty-five billion, one hundred million, seven hundred thirty-four thousand, four hundred".