3785879168940 has 192 divisors, whose sum is σ = 11924021104128. Its totient is φ = 889424640000.

The previous prime is 3785879168891. The next prime is 3785879168947. The reversal of 3785879168940 is 498619785873.

It is not an unprimeable number, because it can be changed into a prime (3785879168947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5820592 + ... + 6438248.

It is an arithmetic number, because the mean of its divisors is an integer number (62104276584).

Almost surely, 2^{3785879168940} is an apocalyptic number.

3785879168940 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 3785879168940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962010552064).

3785879168940 is an abundant number, since it is smaller than the sum of its proper divisors (8138141935188).

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

3785879168940 is a wasteful number, since it uses less digits than its factorization.

3785879168940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617968 (or 617966 counting only the distinct ones).

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

The spelling of 3785879168940 in words is "three trillion, seven hundred eighty-five billion, eight hundred seventy-nine million, one hundred sixty-eight thousand, nine hundred forty".