3964772000 has 384 divisors, whose sum is σ = 11831339520. Its totient is φ = 1277337600.

The previous prime is 3964771999. The next prime is 3964772003. The reversal of 3964772000 is 2774693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964772003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44547956 + ... + 44548044.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 2^3964772000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915669760).

3964772000 is an abundant number, since it is smaller than the sum of its proper divisors (7866567520).

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

3964772000 is a wasteful number, since it uses less digits than its factorization.

3964772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 3964772000 is about 62966.4355033696. The cubic root of 3964772000 is about 1582.7272238398.

The spelling of 3964772000 in words is "three billion, nine hundred sixty-four million, seven hundred seventy-two thousand".