38261802124 has 144 divisors (see below), whose sum is σ = 84292669440. Its totient is φ = 14877907200.

The previous prime is 38261802113. The next prime is 38261802127. The reversal of 38261802124 is 42120816283.

It is a happy number.

It is a super-2 number, since 2×38261802124² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38261802127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106578657 + ... + 106579015.

It is an arithmetic number, because the mean of its divisors is an integer number (585365760).

Almost surely, 2^38261802124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38261802124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42146334720).

38261802124 is an abundant number, since it is smaller than the sum of its proper divisors (46030867316).

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

38261802124 is a wasteful number, since it uses less digits than its factorization.

38261802124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

It can be divided in two parts, 3826 and 1802124, that added together give a triangular number (1805950 = T₁₉₀₀).

The spelling of 38261802124 in words is "thirty-eight billion, two hundred sixty-one million, eight hundred two thousand, one hundred twenty-four".