3996527040 has 560 divisors, whose sum is σ = 15773180544. Its totient is φ = 952473600.

The previous prime is 3996526987. The next prime is 3996527047. The reversal of 3996527040 is 407256993.

It is a happy number.

3996527040 is a `hidden beast` number, since 39 + 96 + 527 + 0 + 4 + 0 = 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 (3996527047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30507775 + ... + 30507905.

Almost surely, 2^3996527040 is an apocalyptic number.

3996527040 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 3996527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886590272).

3996527040 is an abundant number, since it is smaller than the sum of its proper divisors (11776653504).

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

3996527040 is a wasteful number, since it uses less digits than its factorization.

3996527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3996527040 is about 63218.0910815883. The cubic root of 3996527040 is about 1586.9415039134.

The spelling of 3996527040 in words is "three billion, nine hundred ninety-six million, five hundred twenty-seven thousand, forty".