38724480000 has 770 divisors, whose sum is σ = 146780487084. Its totient is φ = 10202112000.

The previous prime is 38724479957. The next prime is 38724480037. The reversal of 38724480000 is 8442783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 466559959 + ... + 466560041.

Almost surely, 2^38724480000 is an apocalyptic number.

38724480000 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 38724480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73390243542).

38724480000 is an abundant number, since it is smaller than the sum of its proper divisors (108056007084).

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

38724480000 is an frugal number, since it uses more digits than its factorization.

38724480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 38724480000 in words is "thirty-eight billion, seven hundred twenty-four million, four hundred eighty thousand".