3952048320 has 560 divisors, whose sum is σ = 15613855488. Its totient is φ = 940861440.

The previous prime is 3952048267. The next prime is 3952048333. The reversal of 3952048320 is 238402593.

3952048320 is a `hidden beast` number, since 39 + 520 + 4 + 83 + 20 = 666.

It is a super-2 number, since 2×3952048320² = 31237371847229644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23664877 + ... + 23665043.

Almost surely, 2^3952048320 is an apocalyptic number.

3952048320 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 3952048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806927744).

3952048320 is an abundant number, since it is smaller than the sum of its proper divisors (11661807168).

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

3952048320 is a wasteful number, since it uses less digits than its factorization.

3952048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3952048320 is about 62865.3188968290. The cubic root of 3952048320 is about 1581.0323222151.

The spelling of 3952048320 in words is "three billion, nine hundred fifty-two million, forty-eight thousand, three hundred twenty".