38308308480 has 560 divisors, whose sum is σ = 148399408080. Its totient is φ = 9423765504.

The previous prime is 38308308473. The next prime is 38308308503. The reversal of 38308308480 is 8480380383.

38308308480 is a `hidden beast` number, since 38 + 308 + 308 + 4 + 8 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 24260331 + ... + 24261909.

It is an arithmetic number, because the mean of its divisors is an integer number (264998943).

Almost surely, 2^38308308480 is an apocalyptic number.

38308308480 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 38308308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74199704040).

38308308480 is an abundant number, since it is smaller than the sum of its proper divisors (110091099600).

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

38308308480 is an equidigital number, since it uses as much as digits as its factorization.

38308308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 38308308480 in words is "thirty-eight billion, three hundred eight million, three hundred eight thousand, four hundred eighty".