3484651968 has 224 divisors, whose sum is σ = 12086661120. Its totient is φ = 963394560.

The previous prime is 3484651909. The next prime is 3484652029. The reversal of 3484651968 is 8691564843.

3484651968 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 (224).

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

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, 370330 + ... + 379622.

Almost surely, 2^3484651968 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 3484651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043330560).

3484651968 is an abundant number, since it is smaller than the sum of its proper divisors (8602009152).

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

3484651968 is a wasteful number, since it uses less digits than its factorization.

3484651968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9336 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 3484651968 is about 59030.9407683801. The cubic root of 3484651968 is about 1516.0719166297.

The spelling of 3484651968 in words is "three billion, four hundred eighty-four million, six hundred fifty-one thousand, nine hundred sixty-eight".