38313878629080 has 768 divisors, whose sum is σ = 126757260288000. Its totient is φ = 9243473141760.

The previous prime is 38313878629079. The next prime is 38313878629087. The reversal of 38313878629080 is 8092687831383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38313878629087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67335463036 + ... + 67335463604.

It is an arithmetic number, because the mean of its divisors is an integer number (165048516000).

Almost surely, 2^{38313878629080} is an apocalyptic number.

38313878629080 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 38313878629080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63378630144000).

38313878629080 is an abundant number, since it is smaller than the sum of its proper divisors (88443381658920).

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

38313878629080 is a wasteful number, since it uses less digits than its factorization.

38313878629080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 38313878629080 in words is "thirty-eight trillion, three hundred thirteen billion, eight hundred seventy-eight million, six hundred twenty-nine thousand, eighty".