3838604864640 has 2048 divisors, whose sum is σ = 16309743206400. Its totient is φ = 745945694208.

The previous prime is 3838604864551. The next prime is 3838604864741. The reversal of 3838604864640 is 464684068383.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14269906426 + ... + 14269906694.

It is an arithmetic number, because the mean of its divisors is an integer number (7963741800).

Almost surely, 2^{3838604864640} is an apocalyptic number.

3838604864640 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 3838604864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154871603200).

3838604864640 is an abundant number, since it is smaller than the sum of its proper divisors (12471138341760).

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

3838604864640 is a wasteful number, since it uses less digits than its factorization.

3838604864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 60.

The spelling of 3838604864640 in words is "three trillion, eight hundred thirty-eight billion, six hundred four million, eight hundred sixty-four thousand, six hundred forty".