38472537600 has 1680 divisors, whose sum is σ = 177471022080. Its totient is φ = 8062156800.

The previous prime is 38472537553. The next prime is 38472537629. The reversal of 38472537600 is 673527483.

38472537600 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 2 + 5 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×38472537600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 1241049585 + ... + 1241049615.

Almost surely, 2^38472537600 is an apocalyptic number.

38472537600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38472537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88735511040).

38472537600 is an abundant number, since it is smaller than the sum of its proper divisors (138998484480).

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

38472537600 is an equidigital number, since it uses as much as digits as its factorization.

38472537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 38472537600 in words is "thirty-eight billion, four hundred seventy-two million, five hundred thirty-seven thousand, six hundred".