38253487740 has 288 divisors, whose sum is σ = 123473480256. Its totient is φ = 8793722880.

The previous prime is 38253487729. The next prime is 38253487751. The reversal of 38253487740 is 4778435283.

38253487740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38253487729) and next prime (38253487751).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20554410 + ... + 20556270.

It is an arithmetic number, because the mean of its divisors is an integer number (428727362).

Almost surely, 2^38253487740 is an apocalyptic number.

38253487740 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 38253487740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61736740128).

38253487740 is an abundant number, since it is smaller than the sum of its proper divisors (85219992516).

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

38253487740 is a wasteful number, since it uses less digits than its factorization.

38253487740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 38253487740 in words is "thirty-eight billion, two hundred fifty-three million, four hundred eighty-seven thousand, seven hundred forty".