38032098720 has 1152 divisors, whose sum is σ = 162701602560. Its totient is φ = 7369850880.

The previous prime is 38032098701. The next prime is 38032098761. The reversal of 38032098720 is 2789023083.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 277606492 + ... + 277606628.

It is an arithmetic number, because the mean of its divisors is an integer number (141234030).

Almost surely, 2^38032098720 is an apocalyptic number.

38032098720 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 38032098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81350801280).

38032098720 is an abundant number, since it is smaller than the sum of its proper divisors (124669503840).

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

38032098720 is a wasteful number, since it uses less digits than its factorization.

38032098720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 38032098720 in words is "thirty-eight billion, thirty-two million, ninety-eight thousand, seven hundred twenty".