3977363760 has 40 divisors (see below), whose sum is σ = 12329828400. Its totient is φ = 1060630272.

The previous prime is 3977363743. The next prime is 3977363777. The reversal of 3977363760 is 673637793.

It is an interprime number because it is at equal distance from previous prime (3977363743) and next prime (3977363777).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3977363760² = 31638844958722675200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8285935 + ... + 8286414.

It is an arithmetic number, because the mean of its divisors is an integer number (308245710).

Almost surely, 2^3977363760 is an apocalyptic number.

3977363760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3977363760 is an abundant number, since it is smaller than the sum of its proper divisors (8352464640).

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

3977363760 is a wasteful number, since it uses less digits than its factorization.

3977363760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16572365 (or 16572359 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 51.

The square root of 3977363760 is about 63066.3441147495. The cubic root of 3977363760 is about 1584.4009863817.

The spelling of 3977363760 in words is "three billion, nine hundred seventy-seven million, three hundred sixty-three thousand, seven hundred sixty".