3996919080 has 640 divisors, whose sum is σ = 17241396480. Its totient is φ = 806215680.

The previous prime is 3996919061. The next prime is 3996919081. The reversal of 3996919080 is 809196993.

3996919080 is a `hidden beast` number, since 399 + 6 + 91 + 90 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3996919081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9230544 + ... + 9230976.

It is an arithmetic number, because the mean of its divisors is an integer number (26939682).

Almost surely, 2^3996919080 is an apocalyptic number.

3996919080 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 3996919080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620698240).

3996919080 is an abundant number, since it is smaller than the sum of its proper divisors (13244477400).

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

3996919080 is a wasteful number, since it uses less digits than its factorization.

3996919080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 3996919080 is about 63221.1917002519. The cubic root of 3996919080 is about 1586.9933926490.

It can be divided in two parts, 39969 and 19080, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 3996919080 in words is "three billion, nine hundred ninety-six million, nine hundred nineteen thousand, eighty".