38400005952 has 168 divisors, whose sum is σ = 137226153792. Its totient is φ = 9974016000.

The previous prime is 38400005929. The next prime is 38400005953. The reversal of 38400005952 is 25950000483.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×38400005952³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38400005953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388549 + ... + 477252.

It is an arithmetic number, because the mean of its divisors is an integer number (816822344).

Almost surely, 2^38400005952 is an apocalyptic number.

38400005952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38400005952 is an abundant number, since it is smaller than the sum of its proper divisors (98826147840).

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

38400005952 is a wasteful number, since it uses less digits than its factorization.

38400005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865837 (or 865824 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 38400005952 in words is "thirty-eight billion, four hundred million, five thousand, nine hundred fifty-two".