3657225909120 has 128 divisors (see below), whose sum is σ = 13322751575040. Its totient is φ = 835937347584.

The previous prime is 3657225909119. The next prime is 3657225909143. The reversal of 3657225909120 is 219095227563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3657225909120² (a number of 26 digits) 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, 136044072 + ... + 136070951.

It is an arithmetic number, because the mean of its divisors is an integer number (104083996680).

Almost surely, 2^{3657225909120} is an apocalyptic number.

3657225909120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3657225909120 is an abundant number, since it is smaller than the sum of its proper divisors (9665525665920).

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

3657225909120 is a wasteful number, since it uses less digits than its factorization.

3657225909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272115052 (or 272115040 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 3657225909120 in words is "three trillion, six hundred fifty-seven billion, two hundred twenty-five million, nine hundred nine thousand, one hundred twenty".