3845075408640 has 1152 divisors, whose sum is σ = 14715858124800. Its totient is φ = 948295434240.

The previous prime is 3845075408633. The next prime is 3845075408659. The reversal of 3845075408640 is 468045705483.

It is a happy number.

3845075408640 is a `hidden beast` number, since 3 + 8 + 4 + 50 + 7 + 540 + 8 + 6 + 40 = 666.

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4138939696 + ... + 4138940624.

It is an arithmetic number, because the mean of its divisors is an integer number (12774182400).

Almost surely, 2^{3845075408640} is an apocalyptic number.

3845075408640 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 3845075408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357929062400).

3845075408640 is an abundant number, since it is smaller than the sum of its proper divisors (10870782716160).

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

3845075408640 is a wasteful number, since it uses less digits than its factorization.

3845075408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 3845075408640 in words is "three trillion, eight hundred forty-five billion, seventy-five million, four hundred eight thousand, six hundred forty".