3838608264960 has 1152 divisors, whose sum is σ = 16805408256000. Its totient is φ = 810274848768.

The previous prime is 3838608264949. The next prime is 3838608264971. The reversal of 3838608264960 is 694628068383.

3838608264960 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 60 + 82 + 6 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3838608264949) and next prime (3838608264971).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161348746 + ... + 161372534.

It is an arithmetic number, because the mean of its divisors is an integer number (14588028000).

Almost surely, 2^{3838608264960} is an apocalyptic number.

3838608264960 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 3838608264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402704128000).

3838608264960 is an abundant number, since it is smaller than the sum of its proper divisors (12966799991040).

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

3838608264960 is a wasteful number, since it uses less digits than its factorization.

3838608264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23878 (or 23858 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3838608264960 in words is "three trillion, eight hundred thirty-eight billion, six hundred eight million, two hundred sixty-four thousand, nine hundred sixty".