3524086944 has 432 divisors, whose sum is σ = 12647928384. Its totient is φ = 908513280.

The previous prime is 3524086903. The next prime is 3524086949. The reversal of 3524086944 is 4496804253.

3524086944 is a `hidden beast` number, since 3 + 524 + 0 + 86 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3524086944.

It is not an unprimeable number, because it can be changed into a prime (3524086949) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32935339 + ... + 32935445.

It is an arithmetic number, because the mean of its divisors is an integer number (29277612).

Almost surely, 2^3524086944 is an apocalyptic number.

3524086944 is a gapful number since it is divisible by the number (34) 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 3524086944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323964192).

3524086944 is an abundant number, since it is smaller than the sum of its proper divisors (9123841440).

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

3524086944 is a wasteful number, since it uses less digits than its factorization.

3524086944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3524086944 is about 59364.0206185531. The cubic root of 3524086944 is about 1521.7694859091.

The spelling of 3524086944 in words is "three billion, five hundred twenty-four million, eighty-six thousand, nine hundred forty-four".