3952249344 has 240 divisors, whose sum is σ = 12064852800. Its totient is φ = 1243004928.

The previous prime is 3952249339. The next prime is 3952249351. The reversal of 3952249344 is 4439422593.

3952249344 is a `hidden beast` number, since 39 + 522 + 4 + 93 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3952249344.

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, 9432367 + ... + 9432785.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^3952249344 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 3952249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032426400).

3952249344 is an abundant number, since it is smaller than the sum of its proper divisors (8112603456).

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

3952249344 is a wasteful number, since it uses less digits than its factorization.

3952249344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 536 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3952249344 is about 62866.9177230759. The cubic root of 3952249344 is about 1581.0591285720.

It can be divided in two parts, 3952249 and 344, that added together give a palindrome (3952593).

The spelling of 3952249344 in words is "three billion, nine hundred fifty-two million, two hundred forty-nine thousand, three hundred forty-four".