3937873680 has 240 divisors, whose sum is σ = 14288929200. Its totient is φ = 966131712.

The previous prime is 3937873679. The next prime is 3937873697. The reversal of 3937873680 is 863787393.

It can be written as a sum of positive squares in 8 ways, for example, as 862949376 + 3074924304 = 29376^2 + 55452^2 .

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

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, 4202172 + ... + 4203108.

It is an arithmetic number, because the mean of its divisors is an integer number (59537205).

Almost surely, 2^3937873680 is an apocalyptic number.

3937873680 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 3937873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144464600).

3937873680 is an abundant number, since it is smaller than the sum of its proper divisors (10351055520).

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

3937873680 is a wasteful number, since it uses less digits than its factorization.

3937873680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3937873680 is about 62752.4794729260. The cubic root of 3937873680 is about 1579.1398512150.

The spelling of 3937873680 in words is "three billion, nine hundred thirty-seven million, eight hundred seventy-three thousand, six hundred eighty".