38310748365120 has 224 divisors, whose sum is σ = 151650858756096. Its totient is φ = 7960674969600.

The previous prime is 38310748365103. The next prime is 38310748365203. The reversal of 38310748365120 is 2156384701383.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×38310748365120² (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 259062636 + ... + 259210475.

It is an arithmetic number, because the mean of its divisors is an integer number (677012762304).

Almost surely, 2^{38310748365120} is an apocalyptic number.

38310748365120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38310748365120 is an abundant number, since it is smaller than the sum of its proper divisors (113340110390976).

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

38310748365120 is a wasteful number, since it uses less digits than its factorization.

38310748365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518273149 (or 518273139 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 38310748365120 in words is "thirty-eight trillion, three hundred ten billion, seven hundred forty-eight million, three hundred sixty-five thousand, one hundred twenty".