3455996544 has 896 divisors, whose sum is σ = 14234532480. Its totient is φ = 806215680.

The previous prime is 3455996503. The next prime is 3455996561. The reversal of 3455996544 is 4456995543.

3455996544 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 9 + 96 + 544 = 666.

3455996544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×3455996544² = 23887824224279887872, which contains 22 as substring.

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

Its product of digits (11664000) is a multiple of the sum of its prime factors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 93405294 + ... + 93405330.

It is an arithmetic number, because the mean of its divisors is an integer number (15886755).

Almost surely, 2^3455996544 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 3455996544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117266240).

3455996544 is an abundant number, since it is smaller than the sum of its proper divisors (10778535936).

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

3455996544 is a wasteful number, since it uses less digits than its factorization.

3455996544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The square root of 3455996544 is about 58787.7244329120. The cubic root of 3455996544 is about 1511.9047559053.

3455996544 divided by its sum of digits (54) gives a palindrome (63999936).

It can be divided in two parts, 3455 and 996544, that added together give a palindrome (999999).

The spelling of 3455996544 in words is "three billion, four hundred fifty-five million, nine hundred ninety-six thousand, five hundred forty-four".