3890947680 has 288 divisors, whose sum is σ = 14180624640. Its totient is φ = 968647680.

The previous prime is 3890947663. The next prime is 3890947691. The reversal of 3890947680 is 867490983.

3890947680 is a `hidden beast` number, since 3 + 8 + 90 + 9 + 476 + 80 = 666.

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

It is a congruent number.

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, 1941559 + ... + 1943561.

It is an arithmetic number, because the mean of its divisors is an integer number (49238280).

Almost surely, 2^3890947680 is an apocalyptic number.

3890947680 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 3890947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090312320).

3890947680 is an abundant number, since it is smaller than the sum of its proper divisors (10289676960).

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

3890947680 is a wasteful number, since it uses less digits than its factorization.

3890947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3890947680 is about 62377.4613141638. The cubic root of 3890947680 is about 1572.8421181898.

The spelling of 3890947680 in words is "three billion, eight hundred ninety million, nine hundred forty-seven thousand, six hundred eighty".