3980765520 has 320 divisors, whose sum is σ = 14096954880. Its totient is φ = 1032192000.

The previous prime is 3980765519. The next prime is 3980765531. The reversal of 3980765520 is 255670893.

It is a happy number.

3980765520 is a `hidden beast` number, since 3 + 98 + 0 + 7 + 6 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15489232 + ... + 15489488.

It is an arithmetic number, because the mean of its divisors is an integer number (44052984).

Almost surely, 2^3980765520 is an apocalyptic number.

3980765520 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 3980765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048477440).

3980765520 is an abundant number, since it is smaller than the sum of its proper divisors (10116189360).

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

3980765520 is a wasteful number, since it uses less digits than its factorization.

3980765520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3980765520 is about 63093.3080445145. The cubic root of 3980765520 is about 1584.8525598671.

The spelling of 3980765520 in words is "three billion, nine hundred eighty million, seven hundred sixty-five thousand, five hundred twenty".