3848946701940 has 288 divisors, whose sum is σ = 12525557990400. Its totient is φ = 954415807488.

The previous prime is 3848946701911. The next prime is 3848946701953. The reversal of 3848946701940 is 491076498483.

3848946701940 is a `hidden beast` number, since 3 + 8 + 4 + 89 + 467 + 0 + 1 + 94 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 28926042 + ... + 29058798.

It is an arithmetic number, because the mean of its divisors is an integer number (43491520800).

Almost surely, 2^{3848946701940} is an apocalyptic number.

3848946701940 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 3848946701940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262778995200).

3848946701940 is an abundant number, since it is smaller than the sum of its proper divisors (8676611288460).

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

3848946701940 is a wasteful number, since it uses less digits than its factorization.

3848946701940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132991 (or 132986 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3848946701940 in words is "three trillion, eight hundred forty-eight billion, nine hundred forty-six million, seven hundred one thousand, nine hundred forty".