3455467776 has 108 divisors (see below), whose sum is σ = 10332150192. Its totient is φ = 1151801856.

The previous prime is 3455467759. The next prime is 3455467781. The reversal of 3455467776 is 6777645543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34435 + ... + 89981.

Almost surely, 2^3455467776 is an apocalyptic number.

3455467776 is a gapful number since it is divisible by the number (36) 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 3455467776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166075096).

3455467776 is an abundant number, since it is smaller than the sum of its proper divisors (6876682416).

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

3455467776 is an frugal number, since it uses more digits than its factorization.

3455467776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55578 (or 55552 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 54.

The square root of 3455467776 is about 58783.2269954619. The cubic root of 3455467776 is about 1511.8276447528.

The spelling of 3455467776 in words is "three billion, four hundred fifty-five million, four hundred sixty-seven thousand, seven hundred seventy-six".