38783448000 has 560 divisors, whose sum is σ = 156550144608. Its totient is φ = 9400320000.

The previous prime is 38783447939. The next prime is 38783448001. The reversal of 38783448000 is 84438783.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38783448001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7125280 + ... + 7130720.

Almost surely, 2^38783448000 is an apocalyptic number.

38783448000 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 38783448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78275072304).

38783448000 is an abundant number, since it is smaller than the sum of its proper divisors (117766696608).

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

38783448000 is a wasteful number, since it uses less digits than its factorization.

38783448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

It can be divided in two parts, 3878 and 3448000, that added together give a triangular number (3451878 = T₂₆₂₇).

The spelling of 38783448000 in words is "thirty-eight billion, seven hundred eighty-three million, four hundred forty-eight thousand".