38371829760 has 1152 divisors, whose sum is σ = 158946278400. Its totient is φ = 8758886400.

The previous prime is 38371829693. The next prime is 38371829777. The reversal of 38371829760 is 6792817383.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38371829697 and 38371829706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1037076462 + ... + 1037076498.

It is an arithmetic number, because the mean of its divisors is an integer number (137974200).

Almost surely, 2^38371829760 is an apocalyptic number.

38371829760 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 38371829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79473139200).

38371829760 is an abundant number, since it is smaller than the sum of its proper divisors (120574448640).

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

38371829760 is a wasteful number, since it uses less digits than its factorization.

38371829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 38371829760 in words is "thirty-eight billion, three hundred seventy-one million, eight hundred twenty-nine thousand, seven hundred sixty".