3455013214400 has 168 divisors, whose sum is σ = 9315954407424. Its totient is φ = 1250733081600.

The previous prime is 3455013214399. The next prime is 3455013214417. The reversal of 3455013214400 is 44123105543.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3484649 + ... + 4364951.

It is an arithmetic number, because the mean of its divisors is an integer number (55452109568).

Almost surely, 2^{3455013214400} 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 3455013214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657977203712).

3455013214400 is an abundant number, since it is smaller than the sum of its proper divisors (5860941193024).

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

3455013214400 is a wasteful number, since it uses less digits than its factorization.

3455013214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880559 (or 880544 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 3455013214400 its reverse (44123105543), we get a palindrome (3499136319943).

The spelling of 3455013214400 in words is "three trillion, four hundred fifty-five billion, thirteen million, two hundred fourteen thousand, four hundred".