38642250240 has 720 divisors, whose sum is σ = 149765039424. Its totient is φ = 9199534080.

The previous prime is 38642250193. The next prime is 38642250263. The reversal of 38642250240 is 4205224683.

38642250240 is a `hidden beast` number, since 3 + 8 + 642 + 2 + 5 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×38642250240² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38642250195 and 38642250204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231390637 + ... + 231390803.

Almost surely, 2^38642250240 is an apocalyptic number.

38642250240 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 38642250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74882519712).

38642250240 is an abundant number, since it is smaller than the sum of its proper divisors (111122789184).

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

38642250240 is a wasteful number, since it uses less digits than its factorization.

38642250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 38642 and 250240, that added together give a palindrome (288882).

The spelling of 38642250240 in words is "thirty-eight billion, six hundred forty-two million, two hundred fifty thousand, two hundred forty".