3482759000 has 64 divisors (see below), whose sum is σ = 9313911360. Its totient is φ = 1194086400.

The previous prime is 3482758999. The next prime is 3482759039. The reversal of 3482759000 is 9572843.

It is a super-2 number, since 2×3482759000² = 24259220504162000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241769 + ... + 255768.

It is an arithmetic number, because the mean of its divisors is an integer number (145529865).

Almost surely, 2^3482759000 is an apocalyptic number.

It is an amenable number.

3482759000 is an abundant number, since it is smaller than the sum of its proper divisors (5831152360).

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

3482759000 is a wasteful number, since it uses less digits than its factorization.

3482759000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497565 (or 497551 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 3482759000 is about 59014.9048969834. The cubic root of 3482759000 is about 1515.7973415813.

The spelling of 3482759000 in words is "three billion, four hundred eighty-two million, seven hundred fifty-nine thousand".