38483203584 has 320 divisors, whose sum is σ = 121683640320. Its totient is φ = 10575912960.

The previous prime is 38483203579. The next prime is 38483203601. The reversal of 38483203584 is 48530238483.

It is a happy number.

It is a super-4 number, since 4×38483203584⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87660837 + ... + 87661275.

It is an arithmetic number, because the mean of its divisors is an integer number (380261376).

Almost surely, 2^38483203584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38483203584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60841820160).

38483203584 is an abundant number, since it is smaller than the sum of its proper divisors (83200436736).

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

38483203584 is a wasteful number, since it uses less digits than its factorization.

38483203584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 38483203584 in words is "thirty-eight billion, four hundred eighty-three million, two hundred three thousand, five hundred eighty-four".