38897252352 has 960 divisors, whose sum is σ = 146507961600. Its totient is φ = 10032906240.

The previous prime is 38897252351. The next prime is 38897252363. The reversal of 38897252352 is 25325279883.

It is a happy number.

38897252352 is a `hidden beast` number, since 38 + 8 + 9 + 7 + 252 + 352 = 666.

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

Its product of digits (7257600) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38897252351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 904587243 + ... + 904587285.

It is an arithmetic number, because the mean of its divisors is an integer number (152612460).

Almost surely, 2^38897252352 is an apocalyptic number.

38897252352 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 38897252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73253980800).

38897252352 is an abundant number, since it is smaller than the sum of its proper divisors (107610709248).

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

38897252352 is a wasteful number, since it uses less digits than its factorization.

38897252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 38897252352 in words is "thirty-eight billion, eight hundred ninety-seven million, two hundred fifty-two thousand, three hundred fifty-two".