38010479520 has 576 divisors, whose sum is σ = 140689954944. Its totient is φ = 8587837440.

The previous prime is 38010479513. The next prime is 38010479543. The reversal of 38010479520 is 2597401083.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 59298400 + ... + 59299040.

It is an arithmetic number, because the mean of its divisors is an integer number (244253394).

Almost surely, 2^38010479520 is an apocalyptic number.

38010479520 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 38010479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70344977472).

38010479520 is an abundant number, since it is smaller than the sum of its proper divisors (102679475424).

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

38010479520 is a wasteful number, since it uses less digits than its factorization.

38010479520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 38010479520 in words is "thirty-eight billion, ten million, four hundred seventy-nine thousand, five hundred twenty".