3966225120 has 864 divisors, whose sum is σ = 17128552896. Its totient is φ = 827228160.

The previous prime is 3966225119. The next prime is 3966225121. The reversal of 3966225120 is 215226693.

3966225120 = T₄₄₉ + T₄₅₀ + ... + T₂₈₇₉.

3966225120 is a `hidden beast` number, since 3 + 9 + 6 + 622 + 5 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3966225119) and next prime (3966225121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966225121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38506989 + ... + 38507091.

It is an arithmetic number, because the mean of its divisors is an integer number (19824714).

Almost surely, 2^3966225120 is an apocalyptic number.

3966225120 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 3966225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564276448).

3966225120 is an abundant number, since it is smaller than the sum of its proper divisors (13162327776).

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

3966225120 is a wasteful number, since it uses less digits than its factorization.

3966225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3966225120 is about 62977.9732922551. The cubic root of 3966225120 is about 1582.9205608644.

The spelling of 3966225120 in words is "three billion, nine hundred sixty-six million, two hundred twenty-five thousand, one hundred twenty".