3982515768 has 384 divisors, whose sum is σ = 14249088000. Its totient is φ = 1018967040.

The previous prime is 3982515743. The next prime is 3982515773. The reversal of 3982515768 is 8675152893.

3982515768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9197280 + ... + 9197712.

It is an arithmetic number, because the mean of its divisors is an integer number (37107000).

Almost surely, 2^3982515768 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 3982515768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544000).

3982515768 is an abundant number, since it is smaller than the sum of its proper divisors (10266572232).

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

3982515768 is a wasteful number, since it uses less digits than its factorization.

3982515768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 535 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 3982515768 is about 63107.1768343348. The cubic root of 3982515768 is about 1585.0847998363.

The spelling of 3982515768 in words is "three billion, nine hundred eighty-two million, five hundred fifteen thousand, seven hundred sixty-eight".