38673033984 has 864 divisors, whose sum is σ = 137806643520. Its totient is φ = 10701766656.

The previous prime is 38673033937. The next prime is 38673033991. The reversal of 38673033984 is 48933037683.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 38673033984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398691024 + ... + 398691120.

It is an arithmetic number, because the mean of its divisors is an integer number (159498430).

Almost surely, 2^38673033984 is an apocalyptic number.

38673033984 is a gapful number since it is divisible by the number (34) 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 38673033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68903321760).

38673033984 is an abundant number, since it is smaller than the sum of its proper divisors (99133609536).

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

38673033984 is a wasteful number, since it uses less digits than its factorization.

38673033984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 38673033984 in words is "thirty-eight billion, six hundred seventy-three million, thirty-three thousand, nine hundred eighty-four".