38165057280 has 864 divisors, whose sum is σ = 162850222080. Its totient is φ = 8430428160.

The previous prime is 38165057279. The next prime is 38165057321. The reversal of 38165057280 is 8275056183.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52496277 + ... + 52497003.

Almost surely, 2^38165057280 is an apocalyptic number.

38165057280 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 38165057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81425111040).

38165057280 is an abundant number, since it is smaller than the sum of its proper divisors (124685164800).

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

38165057280 is a wasteful number, since it uses less digits than its factorization.

38165057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 38165057280 in words is "thirty-eight billion, one hundred sixty-five million, fifty-seven thousand, two hundred eighty".