3986393040 has 540 divisors, whose sum is σ = 16488675684. Its totient is φ = 860461056.

The previous prime is 3986393027. The next prime is 3986393057. The reversal of 3986393040 is 403936893.

3986393040 is a `hidden beast` number, since 3 + 9 + 8 + 639 + 3 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 499254336 + 3487138704 = 22344^2 + 59052^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12735924 + ... + 12736236.

Almost surely, 2^3986393040 is an apocalyptic number.

3986393040 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 3986393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244337842).

3986393040 is an abundant number, since it is smaller than the sum of its proper divisors (12502282644).

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

3986393040 is a wasteful number, since it uses less digits than its factorization.

3986393040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3986393040 is about 63137.8890999691. The cubic root of 3986393040 is about 1585.5990318681.

The spelling of 3986393040 in words is "three billion, nine hundred eighty-six million, three hundred ninety-three thousand, forty".