3454629984 has 144 divisors (see below), whose sum is σ = 10708234992. Its totient is φ = 1050061824.

The previous prime is 3454629943. The next prime is 3454630001. The reversal of 3454629984 is 4899264543.

3454629984 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 629 + 9 + 8 + 4 = 666.

3454629984 is digitally balanced in base 2 and base 4, because in such bases 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 (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3454629984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305194 + ... + 316310.

It is an arithmetic number, because the mean of its divisors is an integer number (74362743).

Almost surely, 2^3454629984 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 3454629984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354117496).

3454629984 is an abundant number, since it is smaller than the sum of its proper divisors (7253605008).

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

3454629984 is a wasteful number, since it uses less digits than its factorization.

3454629984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11229 (or 11218 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3454629984 is about 58776.1004490771. The cubic root of 3454629984 is about 1511.7054519880.

The spelling of 3454629984 in words is "three billion, four hundred fifty-four million, six hundred twenty-nine thousand, nine hundred eighty-four".