3996540 has 60 divisors (see below), whose sum is σ = 12542376. Its totient is φ = 1065312.

The previous prime is 3996529. The next prime is 3996541. The reversal of 3996540 is 456993.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×3996540³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3996495 and 3996504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 387 + ... + 2853.

Almost surely, 2^3996540 is an apocalyptic number.

3996540 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 3996540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271188).

3996540 is an abundant number, since it is smaller than the sum of its proper divisors (8545836).

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

3996540 is a wasteful number, since it uses less digits than its factorization.

3996540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3996540 is about 1999.1348128628. The cubic root of 3996540 is about 158.6943219298.

The spelling of 3996540 in words is "three million, nine hundred ninety-six thousand, five hundred forty".