3893341680 has 240 divisors, whose sum is σ = 14156192160. Its totient is φ = 983384064.

The previous prime is 3893341667. The next prime is 3893341691. The reversal of 3893341680 is 861433983.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 777264 + ... + 782256.

It is an arithmetic number, because the mean of its divisors is an integer number (58984134).

Almost surely, 2^3893341680 is an apocalyptic number.

3893341680 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 3893341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078096080).

3893341680 is an abundant number, since it is smaller than the sum of its proper divisors (10262850480).

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

3893341680 is a wasteful number, since it uses less digits than its factorization.

3893341680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3893341680 is about 62396.6479868911. The cubic root of 3893341680 is about 1573.1646284843.

The spelling of 3893341680 in words is "three billion, eight hundred ninety-three million, three hundred forty-one thousand, six hundred eighty".