3977579520 has 528 divisors, whose sum is σ = 15021377280. Its totient is φ = 1007271936.

The previous prime is 3977579519. The next prime is 3977579521. The reversal of 3977579520 is 259757793.

It is an interprime number because it is at equal distance from previous prime (3977579519) and next prime (3977579521).

It is a super-2 number, since 2×3977579520² = 31642277675846860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3977579521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28615611 + ... + 28615749.

Almost surely, 2^3977579520 is an apocalyptic number.

3977579520 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 3977579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510688640).

3977579520 is an abundant number, since it is smaller than the sum of its proper divisors (11043797760).

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

3977579520 is a wasteful number, since it uses less digits than its factorization.

3977579520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 54.

The square root of 3977579520 is about 63068.0546711249. The cubic root of 3977579520 is about 1584.4296355236.

The spelling of 3977579520 in words is "three billion, nine hundred seventy-seven million, five hundred seventy-nine thousand, five hundred twenty".