3977424000 has 896 divisors, whose sum is σ = 16696143360. Its totient is φ = 933120000.

The previous prime is 3977423959. The next prime is 3977424007. The reversal of 3977424000 is 4247793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3977424007) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 128303985 + ... + 128304015.

Almost surely, 2^3977424000 is an apocalyptic number.

3977424000 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 3977424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348071680).

3977424000 is an abundant number, since it is smaller than the sum of its proper divisors (12718719360).

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

3977424000 is an equidigital number, since it uses as much as digits as its factorization.

3977424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3977424000 is about 63066.8217052358. The cubic root of 3977424000 is about 1584.4089853009.

The spelling of 3977424000 in words is "three billion, nine hundred seventy-seven million, four hundred twenty-four thousand".