38257441267600 has 405 divisors, whose sum is σ = 99680445020601. Its totient is φ = 14108330649600.

The previous prime is 38257441267589. The next prime is 38257441267673. The reversal of 38257441267600 is 676214475283.

The square root of 38257441267600 is 6185260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 35859353639824 + 2398087627776 = 5988268^2 + 1548576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 96366350602 + ... + 96366350998.

Almost surely, 2^{38257441267600} is an apocalyptic number.

38257441267600 is the 6185260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38257441267600

38257441267600 is an abundant number, since it is smaller than the sum of its proper divisors (61423003753001).

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

38257441267600 is an equidigital number, since it uses as much as digits as its factorization.

38257441267600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 38257441267600 in words is "thirty-eight trillion, two hundred fifty-seven billion, four hundred forty-one million, two hundred sixty-seven thousand, six hundred".