3890916000 has 288 divisors, whose sum is σ = 14323877568. Its totient is φ = 1037318400.

The previous prime is 3890915983. The next prime is 3890916013. The reversal of 3890916000 is 6190983.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 969999 + ... + 974001.

It is an arithmetic number, because the mean of its divisors is an integer number (49735686).

Almost surely, 2^3890916000 is an apocalyptic number.

3890916000 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 3890916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161938784).

3890916000 is an abundant number, since it is smaller than the sum of its proper divisors (10432961568).

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

3890916000 is an equidigital number, since it uses as much as digits as its factorization.

3890916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3890916000 is about 62377.2073757715. The cubic root of 3890916000 is about 1572.8378494976.

The spelling of 3890916000 in words is "three billion, eight hundred ninety million, nine hundred sixteen thousand".