3484791072 has 288 divisors, whose sum is σ = 11919503232. Its totient is φ = 980895744.

The previous prime is 3484791071. The next prime is 3484791097. The reversal of 3484791072 is 2701974843.

3484791072 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 (288).

It is not an unprimeable number, because it can be changed into a prime (3484791071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3973098 + ... + 3973974.

It is an arithmetic number, because the mean of its divisors is an integer number (41387164).

Almost surely, 2^3484791072 is an apocalyptic number.

3484791072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484791072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959751616).

3484791072 is an abundant number, since it is smaller than the sum of its proper divisors (8434712160).

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

3484791072 is an equidigital number, since it uses as much as digits as its factorization.

3484791072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3484791072 is about 59032.1189861926. The cubic root of 3484791072 is about 1516.0920897454.

The spelling of 3484791072 in words is "three billion, four hundred eighty-four million, seven hundred ninety-one thousand, seventy-two".