38770842240 has 512 divisors, whose sum is σ = 149350521600. Its totient is φ = 9448538112.

The previous prime is 38770842203. The next prime is 38770842251. The reversal of 38770842240 is 4224807783.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24035674 + ... + 24037286.

Almost surely, 2^38770842240 is an apocalyptic number.

38770842240 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 38770842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74675260800).

38770842240 is an abundant number, since it is smaller than the sum of its proper divisors (110579679360).

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

38770842240 is a wasteful number, since it uses less digits than its factorization.

38770842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 38770842240 in words is "thirty-eight billion, seven hundred seventy million, eight hundred forty-two thousand, two hundred forty".