3607226000 has 320 divisors, whose sum is σ = 10696458240. Its totient is φ = 1149120000.

The previous prime is 3607225991. The next prime is 3607226027. The reversal of 3607226000 is 6227063.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18885905 + ... + 18886095.

It is an arithmetic number, because the mean of its divisors is an integer number (33426432).

Almost surely, 2^3607226000 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 3607226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348229120).

3607226000 is an abundant number, since it is smaller than the sum of its proper divisors (7089232240).

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

3607226000 is a wasteful number, since it uses less digits than its factorization.

3607226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3607226000 is about 60060.1864798970. The cubic root of 3607226000 is about 1533.6436150067.

The spelling of 3607226000 in words is "three billion, six hundred seven million, two hundred twenty-six thousand".