3524124672 has 280 divisors, whose sum is σ = 10847380896. Its totient is φ = 1139539968.

The previous prime is 3524124649. The next prime is 3524124677. The reversal of 3524124672 is 2764214253.

3524124672 is a `hidden beast` number, since 3 + 524 + 124 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×3524124672³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3524124677) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31186888 + ... + 31187000.

Almost surely, 2^3524124672 is an apocalyptic number.

3524124672 is a gapful number since it is divisible by the number (32) 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 3524124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423690448).

3524124672 is an abundant number, since it is smaller than the sum of its proper divisors (7323256224).

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

3524124672 is an equidigital number, since it uses as much as digits as its factorization.

3524124672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 3524124672 is about 59364.3383859367. The cubic root of 3524124672 is about 1521.7749164518.

The spelling of 3524124672 in words is "three billion, five hundred twenty-four million, one hundred twenty-four thousand, six hundred seventy-two".