38762250240 has 544 divisors, whose sum is σ = 146161990656. Its totient is φ = 8587837440.

The previous prime is 38762250211. The next prime is 38762250257. The reversal of 38762250240 is 4205226783.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295894975 + ... + 295895105.

Almost surely, 2^38762250240 is an apocalyptic number.

38762250240 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 38762250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73080995328).

38762250240 is an abundant number, since it is smaller than the sum of its proper divisors (107399740416).

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

38762250240 is an equidigital number, since it uses as much as digits as its factorization.

38762250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 38762250240 in words is "thirty-eight billion, seven hundred sixty-two million, two hundred fifty thousand, two hundred forty".