3984777900 has 216 divisors, whose sum is σ = 13584130560. Its totient is φ = 972933120.

The previous prime is 3984777893. The next prime is 3984777919. The reversal of 3984777900 is 97774893.

3984777900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 562581 + ... + 569619.

Almost surely, 2^3984777900 is an apocalyptic number.

3984777900 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 3984777900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792065280).

3984777900 is an abundant number, since it is smaller than the sum of its proper divisors (9599352660).

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

3984777900 is a wasteful number, since it uses less digits than its factorization.

3984777900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7113 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 3984777900 is about 63125.0972276479. The cubic root of 3984777900 is about 1585.3848607831.

The spelling of 3984777900 in words is "three billion, nine hundred eighty-four million, seven hundred seventy-seven thousand, nine hundred".