3974604480 has 336 divisors, whose sum is σ = 17045293824. Its totient is φ = 825845760.

The previous prime is 3974604467. The next prime is 3974604481. The reversal of 3974604480 is 844064793.

3974604480 is a `hidden beast` number, since 39 + 7 + 4 + 604 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3974604481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 212799 + ... + 230721.

Almost surely, 2^3974604480 is an apocalyptic number.

3974604480 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 3974604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8522646912).

3974604480 is an abundant number, since it is smaller than the sum of its proper divisors (13070689344).

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

3974604480 is a wasteful number, since it uses less digits than its factorization.

3974604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17964 (or 17951 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3974604480 is about 63044.4643089304. The cubic root of 3974604480 is about 1584.0345110326.

The spelling of 3974604480 in words is "three billion, nine hundred seventy-four million, six hundred four thousand, four hundred eighty".