3528724500 has 384 divisors, whose sum is σ = 13238184960. Its totient is φ = 804816000.

The previous prime is 3528724489. The next prime is 3528724559. The reversal of 3528724500 is 54278253.

3528724500 is a `hidden beast` number, since 3 + 52 + 87 + 24 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7654270 + ... + 7654730.

It is an arithmetic number, because the mean of its divisors is an integer number (34474440).

Almost surely, 2^3528724500 is an apocalyptic number.

3528724500 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 3528724500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619092480).

3528724500 is an abundant number, since it is smaller than the sum of its proper divisors (9709460460).

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

3528724500 is an equidigital number, since it uses as much as digits as its factorization.

3528724500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3528724500 is about 59403.0681025820. The cubic root of 3528724500 is about 1522.4367223574.

The spelling of 3528724500 in words is "three billion, five hundred twenty-eight million, seven hundred twenty-four thousand, five hundred".