3455930456832 has 288 divisors, whose sum is σ = 10824100439040. Its totient is φ = 958322442240.

The previous prime is 3455930456831. The next prime is 3455930456843. The reversal of 3455930456832 is 2386540395543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3455930456831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42499669 + ... + 42580907.

It is an arithmetic number, because the mean of its divisors is an integer number (37583682080).

Almost surely, 2^{3455930456832} is an apocalyptic number.

3455930456832 is a gapful number since it is divisible by the number (32) 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 3455930456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412050219520).

3455930456832 is an abundant number, since it is smaller than the sum of its proper divisors (7368169982208).

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

3455930456832 is a wasteful number, since it uses less digits than its factorization.

3455930456832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81499 (or 81485 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 57.

The spelling of 3455930456832 in words is "three trillion, four hundred fifty-five billion, nine hundred thirty million, four hundred fifty-six thousand, eight hundred thirty-two".