3626903952 has 400 divisors, whose sum is σ = 12603360000. Its totient is φ = 1005903360.

The previous prime is 3626903941. The next prime is 3626903953. The reversal of 3626903952 is 2593096263.

It is a junction number, because it is equal to n+sod(n) for n = 3626903898 and 3626903907.

It is not an unprimeable number, because it can be changed into a prime (3626903953) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 18225549 + ... + 18225747.

It is an arithmetic number, because the mean of its divisors is an integer number (31508400).

Almost surely, 2^3626903952 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 3626903952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301680000).

3626903952 is an abundant number, since it is smaller than the sum of its proper divisors (8976456048).

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

3626903952 is a wasteful number, since it uses less digits than its factorization.

3626903952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3626903952 is about 60223.7822790964. The cubic root of 3626903952 is about 1536.4273103118.

The spelling of 3626903952 in words is "three billion, six hundred twenty-six million, nine hundred three thousand, nine hundred fifty-two".