3928765417890 has 16 divisors (see below), whose sum is σ = 9429037003008. Its totient is φ = 1047670778096.

The previous prime is 3928765417781. The next prime is 3928765417891. The reversal of 3928765417890 is 987145678293.

3928765417890 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 (3928765417891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65479423602 + ... + 65479423661.

It is an arithmetic number, because the mean of its divisors is an integer number (589314812688).

It is a 1-persistent number, because it is pandigital, but 2⋅3928765417890 = 7857530835780 is not.

Almost surely, 2^{3928765417890} is an apocalyptic number.

3928765417890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3928765417890 is an abundant number, since it is smaller than the sum of its proper divisors (5500271585118).

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

3928765417890 is a wasteful number, since it uses less digits than its factorization.

3928765417890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130958847273.

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 3928765417890 in words is "three trillion, nine hundred twenty-eight billion, seven hundred sixty-five million, four hundred seventeen thousand, eight hundred ninety".