3984713460 has 384 divisors, whose sum is σ = 15399014400. Its totient is φ = 832965120.

The previous prime is 3984713443. The next prime is 3984713461. The reversal of 3984713460 is 643174893.

3984713460 is a `hidden beast` number, since 3 + 98 + 471 + 34 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984713461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6437031 + ... + 6437649.

It is an arithmetic number, because the mean of its divisors is an integer number (40101600).

Almost surely, 2^3984713460 is an apocalyptic number.

3984713460 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 3984713460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699507200).

3984713460 is an abundant number, since it is smaller than the sum of its proper divisors (11414300940).

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

3984713460 is a wasteful number, since it uses less digits than its factorization.

3984713460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3984713460 is about 63124.5868105289. The cubic root of 3984713460 is about 1585.3763146982.

The spelling of 3984713460 in words is "three billion, nine hundred eighty-four million, seven hundred thirteen thousand, four hundred sixty".