38645172900 has 180 divisors, whose sum is σ = 126262140928. Its totient is φ = 10223962560.

The previous prime is 38645172899. The next prime is 38645172931. The reversal of 38645172900 is 927154683.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1009917 + ... + 1047483.

It is a 1-persistent number, because it is pandigital, but 2⋅38645172900 = 77290345800 is not.

Almost surely, 2^38645172900 is an apocalyptic number.

38645172900 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 38645172900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63131070464).

38645172900 is an abundant number, since it is smaller than the sum of its proper divisors (87616968028).

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

38645172900 is a wasteful number, since it uses less digits than its factorization.

38645172900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37720 (or 37704 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38645172900 in words is "thirty-eight billion, six hundred forty-five million, one hundred seventy-two thousand, nine hundred".