3916473120 has 480 divisors, whose sum is σ = 16492025088. Its totient is φ = 855816192.

The previous prime is 3916473101. The next prime is 3916473139. The reversal of 3916473120 is 213746193.

3916473120 is a `hidden beast` number, since 3 + 9 + 1 + 647 + 3 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3916473101) and next prime (3916473139).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2085622 + ... + 2087498.

Almost surely, 2^3916473120 is an apocalyptic number.

3916473120 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 3916473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246012544).

3916473120 is an abundant number, since it is smaller than the sum of its proper divisors (12575551968).

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

3916473120 is a wasteful number, since it uses less digits than its factorization.

3916473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3916473120 is about 62581.7315196695. The cubic root of 3916473120 is about 1576.2740167896.

The spelling of 3916473120 in words is "three billion, nine hundred sixteen million, four hundred seventy-three thousand, one hundred twenty".