3946287520 has 288 divisors, whose sum is σ = 11890806480. Its totient is φ = 1228308480.

The previous prime is 3946287487. The next prime is 3946287529. The reversal of 3946287520 is 257826493.

3946287520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2481235344 + 1465052176 = 49812^2 + 38276^2 .

It is not an unprimeable number, because it can be changed into a prime (3946287529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3864610 + ... + 3865630.

Almost surely, 2^3946287520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946287520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945403240).

3946287520 is an abundant number, since it is smaller than the sum of its proper divisors (7944518960).

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

3946287520 is a wasteful number, since it uses less digits than its factorization.

3946287520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 3946287520 is about 62819.4836018253. The cubic root of 3946287520 is about 1580.2637384870.

It can be divided in two parts, 3946 and 287520, that added together give a triangular number (291466 = T₇₆₃).

The spelling of 3946287520 in words is "three billion, nine hundred forty-six million, two hundred eighty-seven thousand, five hundred twenty".