3916828890 has 96 divisors (see below), whose sum is σ = 11068097040. Its totient is φ = 955266048.

The previous prime is 3916828837. The next prime is 3916828897. The reversal of 3916828890 is 988286193.

It is a happy number.

3916828890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2220954129 + 1695874761 = 47127^2 + 41181^2 .

It is not an unprimeable number, because it can be changed into a prime (3916828897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112174 + ... + 142886.

Almost surely, 2^3916828890 is an apocalyptic number.

3916828890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3916828890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534048520).

3916828890 is an abundant number, since it is smaller than the sum of its proper divisors (7151268150).

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

3916828890 is a wasteful number, since it uses less digits than its factorization.

3916828890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30848 (or 30845 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 3916828890 is about 62584.5738980462. The cubic root of 3916828890 is about 1576.3217445972.

The spelling of 3916828890 in words is "three billion, nine hundred sixteen million, eight hundred twenty-eight thousand, eight hundred ninety".