3977783520 has 96 divisors (see below), whose sum is σ = 12706606080. Its totient is φ = 1045793280.

The previous prime is 3977783489. The next prime is 3977783597. The reversal of 3977783520 is 253877793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24280 + ... + 92439.

It is an arithmetic number, because the mean of its divisors is an integer number (132360480).

Almost surely, 2^3977783520 is an apocalyptic number.

3977783520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3977783520 is an abundant number, since it is smaller than the sum of its proper divisors (8728822560).

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

3977783520 is a wasteful number, since it uses less digits than its factorization.

3977783520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116808 (or 116800 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The square root of 3977783520 is about 63069.6719509464. The cubic root of 3977783520 is about 1584.4567221909.

The spelling of 3977783520 in words is "three billion, nine hundred seventy-seven million, seven hundred eighty-three thousand, five hundred twenty".