3455400334400 has 168 divisors, whose sum is σ = 10288672839936. Its totient is φ = 1115019878400.

The previous prime is 3455400334333. The next prime is 3455400334403. The reversal of 3455400334400 is 44330045543.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3455400334403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8883656 + ... + 9264455.

Almost surely, 2^{3455400334400} is an apocalyptic number.

It is an amenable number.

3455400334400 is an abundant number, since it is smaller than the sum of its proper divisors (6833272505536).

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

3455400334400 is a wasteful number, since it uses less digits than its factorization.

3455400334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18148157 (or 18148142 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 3455400334400 its reverse (44330045543), we get a palindrome (3499730379943).

The spelling of 3455400334400 in words is "three trillion, four hundred fifty-five billion, four hundred million, three hundred thirty-four thousand, four hundred".