3524048640 has 432 divisors, whose sum is σ = 14554179360. Its totient is φ = 805109760.

The previous prime is 3524048621. The next prime is 3524048641. The reversal of 3524048640 is 468404253.

3524048640 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 0 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 3524048595 and 3524048604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3524048641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692400 + ... + 1694480.

It is an arithmetic number, because the mean of its divisors is an integer number (33690230).

Almost surely, 2^3524048640 is an apocalyptic number.

3524048640 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 3524048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277089680).

3524048640 is an abundant number, since it is smaller than the sum of its proper divisors (11030130720).

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

3524048640 is a wasteful number, since it uses less digits than its factorization.

3524048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3524048640 is about 59363.6979980190. The cubic root of 3524048640 is about 1521.7639724176.

The spelling of 3524048640 in words is "three billion, five hundred twenty-four million, forty-eight thousand, six hundred forty".