3675429440 has 224 divisors, whose sum is σ = 9585838080. Its totient is φ = 1338163200.

The previous prime is 3675429419. The next prime is 3675429451. The reversal of 3675429440 is 449245763.

It is a junction number, because it is equal to n+sod(n) for n = 3675429391 and 3675429400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20306150 + ... + 20306330.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 2^3675429440 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 3675429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792919040).

3675429440 is an abundant number, since it is smaller than the sum of its proper divisors (5910408640).

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

3675429440 is a wasteful number, since it uses less digits than its factorization.

3675429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The square root of 3675429440 is about 60625.3201228662. The cubic root of 3675429440 is about 1543.2490912236.

The spelling of 3675429440 in words is "three billion, six hundred seventy-five million, four hundred twenty-nine thousand, four hundred forty".