3996720 has 240 divisors, whose sum is σ = 16790592. Its totient is φ = 829440.

The previous prime is 3996653. The next prime is 3996743. The reversal of 3996720 is 276993.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65490 + ... + 65550.

Almost surely, 2^3996720 is an apocalyptic number.

3996720 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 3996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395296).

3996720 is an abundant number, since it is smaller than the sum of its proper divisors (12793872).

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

3996720 is a wasteful number, since it uses less digits than its factorization.

3996720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3996720 is about 1999.1798318310. The cubic root of 3996720 is about 158.6967043697.

The spelling of 3996720 in words is "three million, nine hundred ninety-six thousand, seven hundred twenty".