3482397504 has 168 divisors, whose sum is σ = 10621807560. Its totient is φ = 1087045632.

The previous prime is 3482397467. The next prime is 3482397511. The reversal of 3482397504 is 4057932843.

3482397504 is a `hidden beast` number, since 34 + 8 + 23 + 97 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1014295104 + 2468102400 = 31848^2 + 49680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3482397504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2241592 + ... + 2243144.

It is an arithmetic number, because the mean of its divisors is an integer number (63225045).

Almost surely, 2^3482397504 is an apocalyptic number.

3482397504 is a gapful number since it is divisible by the number (34) 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 3482397504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310903780).

3482397504 is an abundant number, since it is smaller than the sum of its proper divisors (7139410056).

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

3482397504 is a wasteful number, since it uses less digits than its factorization.

3482397504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3482397504 is about 59011.8420658091. The cubic root of 3482397504 is about 1515.7448952655.

The spelling of 3482397504 in words is "three billion, four hundred eighty-two million, three hundred ninety-seven thousand, five hundred four".