3952865280 has 624 divisors, whose sum is σ = 16001151264. Its totient is φ = 825753600.

The previous prime is 3952865249. The next prime is 3952865281. The reversal of 3952865280 is 825682593.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952865281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39137230 + ... + 39137330.

Almost surely, 2^3952865280 is an apocalyptic number.

3952865280 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 3952865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000575632).

3952865280 is an abundant number, since it is smaller than the sum of its proper divisors (12048285984).

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

3952865280 is a wasteful number, since it uses less digits than its factorization.

3952865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 3952865280 is about 62871.8162613424. The cubic root of 3952865280 is about 1581.1412573857.

The spelling of 3952865280 in words is "three billion, nine hundred fifty-two million, eight hundred sixty-five thousand, two hundred eighty".