3524935680 has 360 divisors, whose sum is σ = 13985479872. Its totient is φ = 804519936.

The previous prime is 3524935637. The next prime is 3524935697. The reversal of 3524935680 is 865394253.

3524935680 is a `hidden beast` number, since 35 + 2 + 493 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5160619 + ... + 5161301.

Almost surely, 2^3524935680 is an apocalyptic number.

3524935680 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 3524935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992739936).

3524935680 is an abundant number, since it is smaller than the sum of its proper divisors (10460544192).

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

3524935680 is an equidigital number, since it uses as much as digits as its factorization.

3524935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3524935680 is about 59371.1687606030. The cubic root of 3524935680 is about 1521.8916430232.

The spelling of 3524935680 in words is "three billion, five hundred twenty-four million, nine hundred thirty-five thousand, six hundred eighty".