38070630752 has 432 divisors, whose sum is σ = 103162248000. Its totient is φ = 13736701440.

The previous prime is 38070630749. The next prime is 38070630799. The reversal of 38070630752 is 25703607083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212684999 + ... + 212685177.

It is an arithmetic number, because the mean of its divisors is an integer number (238801500).

Almost surely, 2^38070630752 is an apocalyptic number.

38070630752 is a gapful number since it is divisible by the number (32) 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 38070630752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51581124000).

38070630752 is an abundant number, since it is smaller than the sum of its proper divisors (65091617248).

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

38070630752 is a wasteful number, since it uses less digits than its factorization.

38070630752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 38070630752 in words is "thirty-eight billion, seventy million, six hundred thirty thousand, seven hundred fifty-two".