3920076000 has 576 divisors, whose sum is σ = 14953498560. Its totient is φ = 1007769600.

The previous prime is 3920075993. The next prime is 3920076071. The reversal of 3920076000 is 6700293.

3920076000 is a `hidden beast` number, since 39 + 20 + 0 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35963946 + ... + 35964054.

It is an arithmetic number, because the mean of its divisors is an integer number (25960935).

Almost surely, 2^3920076000 is an apocalyptic number.

3920076000 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 3920076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476749280).

3920076000 is an abundant number, since it is smaller than the sum of its proper divisors (11033422560).

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

3920076000 is a wasteful number, since it uses less digits than its factorization.

3920076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3920076000 is about 62610.5102997891. The cubic root of 3920076000 is about 1576.7572224170.

Adding to 3920076000 its reverse (6700293), we get a palindrome (3926776293).

The spelling of 3920076000 in words is "three billion, nine hundred twenty million, seventy-six thousand".