3966965280 has 144 divisors (see below), whose sum is σ = 14038786944. Its totient is φ = 1057847040.

The previous prime is 3966965267. The next prime is 3966965339. The reversal of 3966965280 is 825696693.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12136 + ... + 89895.

It is an arithmetic number, because the mean of its divisors is an integer number (97491576).

Almost surely, 2^3966965280 is an apocalyptic number.

3966965280 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 3966965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019393472).

3966965280 is an abundant number, since it is smaller than the sum of its proper divisors (10071821664).

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

3966965280 is a wasteful number, since it uses less digits than its factorization.

3966965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102061 (or 102041 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 3966965280 is about 62983.8493583871. The cubic root of 3966965280 is about 1583.0190206991.

The spelling of 3966965280 in words is "three billion, nine hundred sixty-six million, nine hundred sixty-five thousand, two hundred eighty".