3526213824 has 448 divisors, whose sum is σ = 12396825600. Its totient is φ = 974177280.

The previous prime is 3526213799. The next prime is 3526213829. The reversal of 3526213824 is 4283126253.

3526213824 is a `hidden beast` number, since 3 + 5 + 2 + 621 + 3 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

Its product of digits (69120) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3526213829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57806754 + ... + 57806814.

Almost surely, 2^3526213824 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 3526213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198412800).

3526213824 is an abundant number, since it is smaller than the sum of its proper divisors (8870611776).

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

3526213824 is an frugal number, since it uses more digits than its factorization.

3526213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3526213824 is about 59381.9317974752. The cubic root of 3526213824 is about 1522.0755670988.

The spelling of 3526213824 in words is "three billion, five hundred twenty-six million, two hundred thirteen thousand, eight hundred twenty-four".