3785918976840 has 512 divisors, whose sum is σ = 15621536931840. Its totient is φ = 708457881600.

The previous prime is 3785918976797. The next prime is 3785918976841. The reversal of 3785918976840 is 486798195873.

3785918976840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3785918976841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4540557 + ... + 5309283.

It is an arithmetic number, because the mean of its divisors is an integer number (30510814320).

Almost surely, 2^{3785918976840} is an apocalyptic number.

3785918976840 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 3785918976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810768465920).

3785918976840 is an abundant number, since it is smaller than the sum of its proper divisors (11835617955000).

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

3785918976840 is a wasteful number, since it uses less digits than its factorization.

3785918976840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768813 (or 768809 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 75.

The spelling of 3785918976840 in words is "three trillion, seven hundred eighty-five billion, nine hundred eighteen million, nine hundred seventy-six thousand, eight hundred forty".