38225064240 has 320 divisors, whose sum is σ = 147140582400. Its totient is φ = 9040435200.

The previous prime is 38225064211. The next prime is 38225064263. The reversal of 38225064240 is 4246052283.

38225064240 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 5 + 0 + 642 + 4 + 0 = 666.

It is a super-2 number, since 2×38225064240² (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 = 38225064195 and 38225064204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954541 + ... + 993779.

It is an arithmetic number, because the mean of its divisors is an integer number (459814320).

Almost surely, 2^38225064240 is an apocalyptic number.

38225064240 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 38225064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73570291200).

38225064240 is an abundant number, since it is smaller than the sum of its proper divisors (108915518160).

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

38225064240 is a wasteful number, since it uses less digits than its factorization.

38225064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39313 (or 39301 counting only the distinct ones).

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

The spelling of 38225064240 in words is "thirty-eight billion, two hundred twenty-five million, sixty-four thousand, two hundred forty".