38900461825 has 24 divisors (see below), whose sum is σ = 48605873400. Its totient is φ = 30882508800.

The previous prime is 38900461793. The next prime is 38900461841. The reversal of 38900461825 is 52816400983.

It is a Cunningham number, because it is equal to 197232²+1.

It can be written as a sum of positive squares in 12 ways, for example, as 34343131761 + 4557330064 = 185319^2 + 67508^2 .

It is not a de Polignac number, because 38900461825 - 2⁵ = 38900461793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4529035 + ... + 4537615.

It is an arithmetic number, because the mean of its divisors is an integer number (2025244725).

Almost surely, 2^38900461825 is an apocalyptic number.

It is an amenable number.

38900461825 is a deficient number, since it is larger than the sum of its proper divisors (9705411575).

38900461825 is a wasteful number, since it uses less digits than its factorization.

38900461825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 38900461825 in words is "thirty-eight billion, nine hundred million, four hundred sixty-one thousand, eight hundred twenty-five".