38610966240 has 1152 divisors, whose sum is σ = 173903708160. Its totient is φ = 7567257600.

The previous prime is 38610966227. The next prime is 38610966257. The reversal of 38610966240 is 4266901683.

38610966240 is a `hidden beast` number, since 3 + 8 + 6 + 10 + 9 + 6 + 624 + 0 = 666.

38610966240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161552041 + ... + 161552279.

It is an arithmetic number, because the mean of its divisors is an integer number (150958080).

Almost surely, 2^38610966240 is an apocalyptic number.

38610966240 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 38610966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86951854080).

38610966240 is an abundant number, since it is smaller than the sum of its proper divisors (135292741920).

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

38610966240 is a wasteful number, since it uses less digits than its factorization.

38610966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38610966240 in words is "thirty-eight billion, six hundred ten million, nine hundred sixty-six thousand, two hundred forty".