3974053680 has 240 divisors, whose sum is σ = 14503357440. Its totient is φ = 971481600.

The previous prime is 3974053673. The next prime is 3974053691. The reversal of 3974053680 is 863504793.

3974053680 is a `hidden beast` number, since 39 + 7 + 4 + 0 + 536 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419395 + ... + 428765.

It is an arithmetic number, because the mean of its divisors is an integer number (60430656).

Almost surely, 2^3974053680 is an apocalyptic number.

3974053680 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 3974053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251678720).

3974053680 is an abundant number, since it is smaller than the sum of its proper divisors (10529303760).

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

3974053680 is a wasteful number, since it uses less digits than its factorization.

3974053680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3974053680 is about 63040.0958121099. The cubic root of 3974053680 is about 1583.9613359096.

The spelling of 3974053680 in words is "three billion, nine hundred seventy-four million, fifty-three thousand, six hundred eighty".