3887213760 has 224 divisors, whose sum is σ = 14033479680. Its totient is φ = 1012386816.

The previous prime is 3887213753. The next prime is 3887213777. The reversal of 3887213760 is 673127883.

It is a super-2 number, since 2×3887213760² = 30220861631866675200, which contains 22 as substring.

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

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, 366289 + ... + 376751.

Almost surely, 2^3887213760 is an apocalyptic number.

3887213760 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 3887213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016739840).

3887213760 is an abundant number, since it is smaller than the sum of its proper divisors (10146265920).

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

3887213760 is a wasteful number, since it uses less digits than its factorization.

3887213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3887213760 is about 62347.5240887720. The cubic root of 3887213760 is about 1572.3388349500.

The spelling of 3887213760 in words is "three billion, eight hundred eighty-seven million, two hundred thirteen thousand, seven hundred sixty".