3455529984 has 176 divisors, whose sum is σ = 10366663040. Its totient is φ = 1151096832.

The previous prime is 3455529983. The next prime is 3455529989. The reversal of 3455529984 is 4899255543.

3455529984 is a `hidden beast` number, since 3 + 4 + 5 + 552 + 9 + 9 + 84 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3455529984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455529983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2238717 + ... + 2240259.

Almost surely, 2^3455529984 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 3455529984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183331520).

3455529984 is an abundant number, since it is smaller than the sum of its proper divisors (6911133056).

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

3455529984 is an frugal number, since it uses more digits than its factorization.

3455529984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1548 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The square root of 3455529984 is about 58783.7561236095. The cubic root of 3455529984 is about 1511.8367170614.

The spelling of 3455529984 in words is "three billion, four hundred fifty-five million, five hundred twenty-nine thousand, nine hundred eighty-four".