3964047120 has 480 divisors, whose sum is σ = 15555254400. Its totient is φ = 926069760.

The previous prime is 3964047089. The next prime is 3964047137. The reversal of 3964047120 is 217404693.

3964047120 is a `hidden beast` number, since 3 + 9 + 640 + 4 + 7 + 1 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 7579179 + ... + 7579701.

It is an arithmetic number, because the mean of its divisors is an integer number (32406780).

Almost surely, 2^3964047120 is an apocalyptic number.

3964047120 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 3964047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777627200).

3964047120 is an abundant number, since it is smaller than the sum of its proper divisors (11591207280).

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

3964047120 is a wasteful number, since it uses less digits than its factorization.

3964047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3964047120 is about 62960.6791577092. The cubic root of 3964047120 is about 1582.6307611902.

The spelling of 3964047120 in words is "three billion, nine hundred sixty-four million, forty-seven thousand, one hundred twenty".