38425098240 has 288 divisors, whose sum is σ = 133722912960. Its totient is φ = 10204545024.

The previous prime is 38425098227. The next prime is 38425098247. The reversal of 38425098240 is 4289052483.

38425098240 is a `hidden beast` number, since 384 + 25 + 0 + 9 + 8 + 240 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38425098247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27002169 + ... + 27003591.

It is an arithmetic number, because the mean of its divisors is an integer number (464315670).

Almost surely, 2^38425098240 is an apocalyptic number.

38425098240 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 38425098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66861456480).

38425098240 is an abundant number, since it is smaller than the sum of its proper divisors (95297814720).

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

38425098240 is a wasteful number, since it uses less digits than its factorization.

38425098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38425098240 in words is "thirty-eight billion, four hundred twenty-five million, ninety-eight thousand, two hundred forty".