38284837420752 has 480 divisors, whose sum is σ = 119354308085376. Its totient is φ = 11379709440000.

The previous prime is 38284837420751. The next prime is 38284837420757. The reversal of 38284837420752 is 25702473848283.

38284837420752 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 4 + 8 + 374 + 207 + 52 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38284837420752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38284837420751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5754519058 + ... + 5754525710.

Almost surely, 2^{38284837420752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38284837420752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59677154042688).

38284837420752 is an abundant number, since it is smaller than the sum of its proper divisors (81069470664624).

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

38284837420752 is a wasteful number, since it uses less digits than its factorization.

38284837420752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 38284837420752 in words is "thirty-eight trillion, two hundred eighty-four billion, eight hundred thirty-seven million, four hundred twenty thousand, seven hundred fifty-two".