3838548504960 has 768 divisors, whose sum is σ = 15143621613120. Its totient is φ = 887567155200.

The previous prime is 3838548504949. The next prime is 3838548504971. The reversal of 3838548504960 is 694058458383.

It is a happy number.

3838548504960 is a `hidden beast` number, since 3 + 8 + 3 + 85 + 48 + 504 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3838548504949) and next prime (3838548504971).

It is a super-2 number, since 2×3838548504960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726857520 + ... + 726862800.

Almost surely, 2^{3838548504960} is an apocalyptic number.

3838548504960 is a gapful number since it is divisible by the number (30) 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 3838548504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571810806560).

3838548504960 is an abundant number, since it is smaller than the sum of its proper divisors (11305073108160).

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

3838548504960 is a wasteful number, since it uses less digits than its factorization.

3838548504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 3838548504960 in words is "three trillion, eight hundred thirty-eight billion, five hundred forty-eight million, five hundred four thousand, nine hundred sixty".