3952246452480 has 720 divisors, whose sum is σ = 15058588849920. Its totient is φ = 986316079104.

The previous prime is 3952246452337. The next prime is 3952246452523. The reversal of 3952246452480 is 842546422593.

3952246452480 is a `hidden beast` number, since 3 + 9 + 52 + 2 + 4 + 64 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3952246452480² (a number of 26 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 315491977 + ... + 315504503.

It is an arithmetic number, because the mean of its divisors is an integer number (20914706736).

Almost surely, 2^{3952246452480} is an apocalyptic number.

3952246452480 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 3952246452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529294424960).

3952246452480 is an abundant number, since it is smaller than the sum of its proper divisors (11106342397440).

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

3952246452480 is a wasteful number, since it uses less digits than its factorization.

3952246452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 3952246452480 in words is "three trillion, nine hundred fifty-two billion, two hundred forty-six million, four hundred fifty-two thousand, four hundred eighty".