3484163904 has 224 divisors, whose sum is σ = 10533497856. Its totient is φ = 1008599040.

The previous prime is 3484163897. The next prime is 3484163911. The reversal of 3484163904 is 4093614843.

3484163904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3484163897) and next prime (3484163911).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2862304 + ... + 2863520.

It is an arithmetic number, because the mean of its divisors is an integer number (47024544).

Almost surely, 2^3484163904 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 3484163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266748928).

3484163904 is an abundant number, since it is smaller than the sum of its proper divisors (7049333952).

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

3484163904 is a wasteful number, since it uses less digits than its factorization.

3484163904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3484163904 is about 59026.8066559593. The cubic root of 3484163904 is about 1516.0011324521.

The spelling of 3484163904 in words is "three billion, four hundred eighty-four million, one hundred sixty-three thousand, nine hundred four".