3455480438784 has 896 divisors, whose sum is σ = 11523230760960. Its totient is φ = 1014438297600.

The previous prime is 3455480438783. The next prime is 3455480438789. The reversal of 3455480438784 is 4878340845543.

3455480438784 is a `hidden beast` number, since 3 + 4 + 5 + 54 + 80 + 438 + 78 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3455480438783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16376684439 + ... + 16376684649.

Almost surely, 2^{3455480438784} 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 3455480438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761615380480).

3455480438784 is an abundant number, since it is smaller than the sum of its proper divisors (8067750322176).

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

3455480438784 is a wasteful number, since it uses less digits than its factorization.

3455480438784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 3455480438784 in words is "three trillion, four hundred fifty-five billion, four hundred eighty million, four hundred thirty-eight thousand, seven hundred eighty-four".