38200563072 has 288 divisors, whose sum is σ = 128311026480. Its totient is φ = 10908914688.

The previous prime is 38200563067. The next prime is 38200563077. The reversal of 38200563072 is 27036500283.

38200563072 is a `hidden beast` number, since 3 + 8 + 20 + 0 + 563 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (38200563067) and next prime (38200563077).

It is a tau number, because it is divible by the number of its divisors (288).

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 (38200563077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19360678 + ... + 19362650.

Almost surely, 2^38200563072 is an apocalyptic number.

38200563072 is a gapful number since it is divisible by the number (32) 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 38200563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64155513240).

38200563072 is an abundant number, since it is smaller than the sum of its proper divisors (90110463408).

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

38200563072 is an frugal number, since it uses more digits than its factorization.

38200563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 38200563072 in words is "thirty-eight billion, two hundred million, five hundred sixty-three thousand, seventy-two".