3925864800 has 1152 divisors, whose sum is σ = 17638871040. Its totient is φ = 829440000.

The previous prime is 3925864793. The next prime is 3925864807. The reversal of 3925864800 is 84685293.

3925864800 is a `hidden beast` number, since 3 + 92 + 5 + 86 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3925864793) and next prime (3925864807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925864807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95752780 + ... + 95752820.

It is an arithmetic number, because the mean of its divisors is an integer number (15311520).

Almost surely, 2^3925864800 is an apocalyptic number.

3925864800 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 3925864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819435520).

3925864800 is an abundant number, since it is smaller than the sum of its proper divisors (13713006240).

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

3925864800 is a wasteful number, since it uses less digits than its factorization.

3925864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3925864800 is about 62656.7219059536. The cubic root of 3925864800 is about 1577.5329763392.

It can be divided in two parts, 392586 and 4800, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 3925864800 in words is "three billion, nine hundred twenty-five million, eight hundred sixty-four thousand, eight hundred".