38185985376 has 864 divisors, whose sum is σ = 147622849920. Its totient is φ = 9308597760.

The previous prime is 38185985371. The next prime is 38185985381. The reversal of 38185985376 is 67358958183.

38185985376 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 5 + 98 + 537 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38185985371) and next prime (38185985381).

It is a super-2 number, since 2×38185985376² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (43545600) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38185985371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356878315 + ... + 356878421.

It is an arithmetic number, because the mean of its divisors is an integer number (170859780).

Almost surely, 2^38185985376 is an apocalyptic number.

38185985376 is a gapful number since it is divisible by the number (36) 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 38185985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73811424960).

38185985376 is an abundant number, since it is smaller than the sum of its proper divisors (109436864544).

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

38185985376 is a wasteful number, since it uses less digits than its factorization.

38185985376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 38185985376 in words is "thirty-eight billion, one hundred eighty-five million, nine hundred eighty-five thousand, three hundred seventy-six".