3862978560 has 448 divisors, whose sum is σ = 15727680000. Its totient is φ = 881197056.

The previous prime is 3862978529. The next prime is 3862978571. The reversal of 3862978560 is 658792683.

It is a happy number.

3862978560 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 3862978497 and 3862978506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741191 + ... + 7741689.

Almost surely, 2^3862978560 is an apocalyptic number.

3862978560 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 3862978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863840000).

3862978560 is an abundant number, since it is smaller than the sum of its proper divisors (11864701440).

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

3862978560 is an equidigital number, since it uses as much as digits as its factorization.

3862978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3862978560 is about 62152.8644553089. The cubic root of 3862978560 is about 1569.0643890674.

The spelling of 3862978560 in words is "three billion, eight hundred sixty-two million, nine hundred seventy-eight thousand, five hundred sixty".