38984956101000 has 1536 divisors, whose sum is σ = 172086235776000. Its totient is φ = 8090337024000.

The previous prime is 38984956100977. The next prime is 38984956101043. The reversal of 38984956101000 is 10165948983.

38984956101000 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 4 + 9 + 5 + 610 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1049120421 + ... + 1049157579.

It is an arithmetic number, because the mean of its divisors is an integer number (112035309750).

Almost surely, 2^{38984956101000} is an apocalyptic number.

38984956101000 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 38984956101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86043117888000).

38984956101000 is an abundant number, since it is smaller than the sum of its proper divisors (133101279675000).

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

38984956101000 is a wasteful number, since it uses less digits than its factorization.

38984956101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37277 (or 37250 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 38984956101000 in words is "thirty-eight trillion, nine hundred eighty-four billion, nine hundred fifty-six million, one hundred one thousand".