3976703640 has 512 divisors, whose sum is σ = 16711833600. Its totient is φ = 818657280.

The previous prime is 3976703639. The next prime is 3976703713. The reversal of 3976703640 is 463076793.

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 127 ways as a sum of consecutive naturals, for example, 4225570 + ... + 4226510.

It is an arithmetic number, because the mean of its divisors is an integer number (32640300).

Almost surely, 2^3976703640 is an apocalyptic number.

3976703640 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 3976703640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8355916800).

3976703640 is an abundant number, since it is smaller than the sum of its proper divisors (12735129960).

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

3976703640 is a wasteful number, since it uses less digits than its factorization.

3976703640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3976703640 is about 63061.1103612995. The cubic root of 3976703640 is about 1584.3133275949.

The spelling of 3976703640 in words is "three billion, nine hundred seventy-six million, seven hundred three thousand, six hundred forty".