3472984782 has 64 divisors (see below), whose sum is σ = 7854750720. Its totient is φ = 1137240000.

The previous prime is 3472984759. The next prime is 3472984811. The reversal of 3472984782 is 2874892743.

It is a happy number.

3472984782 is a `hidden beast` number, since 3 + 472 + 98 + 4 + 7 + 82 = 666.

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, 1066657 + ... + 1069907.

It is an arithmetic number, because the mean of its divisors is an integer number (122730480).

Almost surely, 2^3472984782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3472984782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927375360).

3472984782 is an abundant number, since it is smaller than the sum of its proper divisors (4381765938).

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

3472984782 is a wasteful number, since it uses less digits than its factorization.

3472984782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3600 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 3472984782 is about 58932.0352779369. The cubic root of 3472984782 is about 1514.3780056254.

The spelling of 3472984782 in words is "three billion, four hundred seventy-two million, nine hundred eighty-four thousand, seven hundred eighty-two".