3992246720 has 448 divisors, whose sum is σ = 12675778560. Its totient is φ = 1161216000.

The previous prime is 3992246647. The next prime is 3992246729. The reversal of 3992246720 is 276422993.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992246729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26438645 + ... + 26438795.

Almost surely, 2^3992246720 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 3992246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337889280).

3992246720 is an abundant number, since it is smaller than the sum of its proper divisors (8683531840).

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

3992246720 is a wasteful number, since it uses less digits than its factorization.

3992246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 3992246720 is about 63184.2284118434. The cubic root of 3992246720 is about 1586.3747581847.

The spelling of 3992246720 in words is "three billion, nine hundred ninety-two million, two hundred forty-six thousand, seven hundred twenty".