38304834480 has 720 divisors, whose sum is σ = 151355000160. Its totient is φ = 8649400320.

The previous prime is 38304834473. The next prime is 38304834521. The reversal of 38304834480 is 8443840383.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120835282 + ... + 120835598.

It is an arithmetic number, because the mean of its divisors is an integer number (210215278).

Almost surely, 2^38304834480 is an apocalyptic number.

38304834480 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 38304834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75677500080).

38304834480 is an abundant number, since it is smaller than the sum of its proper divisors (113050165680).

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

38304834480 is a wasteful number, since it uses less digits than its factorization.

38304834480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 38304834480 in words is "thirty-eight billion, three hundred four million, eight hundred thirty-four thousand, four hundred eighty".