38358969120 has 144 divisors (see below), whose sum is σ = 135748267200. Its totient is φ = 10229048064.

The previous prime is 38358969101. The next prime is 38358969139. The reversal of 38358969120 is 2196985383.

38358969120 is a `hidden beast` number, since 38 + 3 + 589 + 6 + 9 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (38358969101) and next prime (38358969139).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×38358969120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 454420 + ... + 532179.

It is an arithmetic number, because the mean of its divisors is an integer number (942696300).

Almost surely, 2^38358969120 is an apocalyptic number.

38358969120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38358969120 is an abundant number, since it is smaller than the sum of its proper divisors (97389298080).

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

38358969120 is an equidigital number, since it uses as much as digits as its factorization.

38358969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986629 (or 986609 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 38358969120 in words is "thirty-eight billion, three hundred fifty-eight million, nine hundred sixty-nine thousand, one hundred twenty".