3920874048 has 672 divisors, whose sum is σ = 15147991040. Its totient is φ = 940584960.

The previous prime is 3920874011. The next prime is 3920874049. The reversal of 3920874048 is 8404780293.

3920874048 is a `hidden beast` number, since 39 + 208 + 7 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 3920873994 and 3920874012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3920874049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30872961 + ... + 30873087.

Almost surely, 2^3920874048 is an apocalyptic number.

3920874048 is a gapful number since it is divisible by the number (38) 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 3920874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573995520).

3920874048 is an abundant number, since it is smaller than the sum of its proper divisors (11227116992).

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

3920874048 is a wasteful number, since it uses less digits than its factorization.

3920874048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3920874048 is about 62616.8830907448. The cubic root of 3920874048 is about 1576.8642137583.

The spelling of 3920874048 in words is "three billion, nine hundred twenty million, eight hundred seventy-four thousand, forty-eight".