38985408000 has 1280 divisors, whose sum is σ = 180168468480. Its totient is φ = 8073216000.

The previous prime is 38985407999. The next prime is 38985408023. The reversal of 38985408000 is 80458983.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133055854 + ... + 133056146.

It is an arithmetic number, because the mean of its divisors is an integer number (140756616).

Almost surely, 2^38985408000 is an apocalyptic number.

38985408000 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 38985408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90084234240).

38985408000 is an abundant number, since it is smaller than the sum of its proper divisors (141183060480).

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

38985408000 is a wasteful number, since it uses less digits than its factorization.

38985408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 38985 and 408000, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 38985408000 in words is "thirty-eight billion, nine hundred eighty-five million, four hundred eight thousand".