38250961541 has 8 divisors (see below), whose sum is σ = 41311380600. Its totient is φ = 35207404992.

The previous prime is 38250961493. The next prime is 38250961547. The reversal of 38250961541 is 14516905283.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 178756900 + 38072204641 = 13370^2 + 195121^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38250961541 is a prime.

It is a super-2 number, since 2×38250961541² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38250961492 and 38250961501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38250961547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4210910 + ... + 4219983.

It is an arithmetic number, because the mean of its divisors is an integer number (5163922575).

Almost surely, 2^38250961541 is an apocalyptic number.

It is an amenable number.

38250961541 is a deficient number, since it is larger than the sum of its proper divisors (3060419059).

38250961541 is a wasteful number, since it uses less digits than its factorization.

38250961541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8431255.

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 38250961541 in words is "thirty-eight billion, two hundred fifty million, nine hundred sixty-one thousand, five hundred forty-one".