3675439040 has 504 divisors, whose sum is σ = 11763664560. Its totient is φ = 1086898176.

The previous prime is 3675439013. The next prime is 3675439063. The reversal of 3675439040 is 409345763.

It is a super-2 number, since 2×3675439040² = 27017704273512243200, 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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50348444 + ... + 50348516.

Almost surely, 2^3675439040 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 3675439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881832280).

3675439040 is an abundant number, since it is smaller than the sum of its proper divisors (8088225520).

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

3675439040 is a wasteful number, since it uses less digits than its factorization.

3675439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The square root of 3675439040 is about 60625.3992976541. The cubic root of 3675439040 is about 1543.2504348469.

The spelling of 3675439040 in words is "three billion, six hundred seventy-five million, four hundred thirty-nine thousand, forty".