38142074880 has 896 divisors, whose sum is σ = 167342515200. Its totient is φ = 8026324992.

The previous prime is 38142074849. The next prime is 38142074881. The reversal of 38142074880 is 8847024183.

38142074880 is a `hidden beast` number, since 3 + 81 + 420 + 74 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38142074881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100638531 + ... + 100638909.

It is an arithmetic number, because the mean of its divisors is an integer number (186766200).

Almost surely, 2^38142074880 is an apocalyptic number.

38142074880 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 38142074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83671257600).

38142074880 is an abundant number, since it is smaller than the sum of its proper divisors (129200440320).

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

38142074880 is a wasteful number, since it uses less digits than its factorization.

38142074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 38142074880 in words is "thirty-eight billion, one hundred forty-two million, seventy-four thousand, eight hundred eighty".