38142576 has 100 divisors (see below), whose sum is σ = 116281000. Its totient is φ = 12037248.

The previous prime is 38142571. The next prime is 38142593. The reversal of 38142576 is 67524183.

38142576 is a `hidden beast` number, since 3 + 81 + 4 + 2 + 576 = 666.

It is a super-2 number, since 2×38142576² = 2909712207831552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38142576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38142571) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23850 + ... + 25398.

It is an arithmetic number, because the mean of its divisors is an integer number (1162810).

Almost surely, 2^38142576 is an apocalyptic number.

38142576 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 38142576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58140500).

38142576 is an abundant number, since it is smaller than the sum of its proper divisors (78138424).

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

38142576 is a wasteful number, since it uses less digits than its factorization.

38142576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1573 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 38142576 is about 6175.9676164954. The cubic root of 38142576 is about 336.6174869617.

It can be divided in two parts, 381425 and 76, that added together give a triangular number (381501 = T₈₇₃).

The spelling of 38142576 in words is "thirty-eight million, one hundred forty-two thousand, five hundred seventy-six".