3781735395840 has 640 divisors, whose sum is σ = 14035321681920. Its totient is φ = 963362340864.

The previous prime is 3781735395833. The next prime is 3781735395853. The reversal of 3781735395840 is 485935371873.

3781735395840 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 7 + 3 + 539 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2268586687 + ... + 2268588353.

It is an arithmetic number, because the mean of its divisors is an integer number (21930190128).

Almost surely, 2^{3781735395840} is an apocalyptic number.

3781735395840 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 3781735395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7017660840960).

3781735395840 is an abundant number, since it is smaller than the sum of its proper divisors (10253586286080).

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

3781735395840 is a wasteful number, since it uses less digits than its factorization.

3781735395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3781735395840 in words is "three trillion, seven hundred eighty-one billion, seven hundred thirty-five million, three hundred ninety-five thousand, eight hundred forty".