3482004072 has 64 divisors (see below), whose sum is σ = 8994792960. Its totient is φ = 1122105600.

The previous prime is 3482004059. The next prime is 3482004133. The reversal of 3482004072 is 2704002843.

3482004072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079422 + ... + 1082642.

It is an arithmetic number, because the mean of its divisors is an integer number (140543640).

Almost surely, 2^3482004072 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 3482004072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497396480).

3482004072 is an abundant number, since it is smaller than the sum of its proper divisors (5512788888).

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

3482004072 is a wasteful number, since it uses less digits than its factorization.

3482004072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 3482004072 is about 59008.5084712366. The cubic root of 3482004072 is about 1515.6878115079.

The spelling of 3482004072 in words is "three billion, four hundred eighty-two million, four thousand, seventy-two".