3925857600 has 1008 divisors, whose sum is σ = 17688153600. Its totient is φ = 805109760.

The previous prime is 3925857589. The next prime is 3925857613. The reversal of 3925857600 is 67585293.

It is a happy number.

3925857600 is a `hidden beast` number, since 3 + 9 + 2 + 585 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49694361 + ... + 49694439.

Almost surely, 2^3925857600 is an apocalyptic number.

3925857600 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 3925857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844076800).

3925857600 is an abundant number, since it is smaller than the sum of its proper divisors (13762296000).

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

3925857600 is a wasteful number, since it uses less digits than its factorization.

3925857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3925857600 is about 62656.6644500008. The cubic root of 3925857600 is about 1577.5320119450.

The spelling of 3925857600 in words is "three billion, nine hundred twenty-five million, eight hundred fifty-seven thousand, six hundred".