3930681600 has 648 divisors, whose sum is σ = 15417728480. Its totient is φ = 979292160.

The previous prime is 3930681541. The next prime is 3930681647. The reversal of 3930681600 is 61860393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 91411179 + ... + 91411221.

Almost surely, 2^3930681600 is an apocalyptic number.

3930681600 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 3930681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7708864240).

3930681600 is an abundant number, since it is smaller than the sum of its proper divisors (11487046880).

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

3930681600 is a wasteful number, since it uses less digits than its factorization.

3930681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3930681600 is about 62695.1481376350. The cubic root of 3930681600 is about 1578.1778920155.

The spelling of 3930681600 in words is "three billion, nine hundred thirty million, six hundred eighty-one thousand, six hundred".