3484959984 has 320 divisors, whose sum is σ = 11559260160. Its totient is φ = 995328000.

The previous prime is 3484959979. The next prime is 3484960007. The reversal of 3484959984 is 4899594843.

3484959984 is a `hidden beast` number, since 34 + 8 + 4 + 9 + 599 + 8 + 4 = 666.

3484959984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6039504 + ... + 6040080.

It is an arithmetic number, because the mean of its divisors is an integer number (36122688).

Almost surely, 2^3484959984 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 3484959984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779630080).

3484959984 is an abundant number, since it is smaller than the sum of its proper divisors (8074300176).

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

3484959984 is a wasteful number, since it uses less digits than its factorization.

3484959984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The square root of 3484959984 is about 59033.5496476368. The cubic root of 3484959984 is about 1516.1165849499.

The spelling of 3484959984 in words is "three billion, four hundred eighty-four million, nine hundred fifty-nine thousand, nine hundred eighty-four".