3625069824 has 108 divisors (see below), whose sum is σ = 10492618500. Its totient is φ = 1203658752.

The previous prime is 3625069823. The next prime is 3625069867. The reversal of 3625069824 is 4289605263.

3625069824 is a `hidden beast` number, since 3 + 62 + 506 + 9 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 656999424 + 2968070400 = 25632^2 + 54480^2 .

It is a super-2 number, since 2×3625069824² = 26282262457750781952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3625069824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625069823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616852 + ... + 622700.

It is an arithmetic number, because the mean of its divisors is an integer number (97153875).

Almost surely, 2^3625069824 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 3625069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246309250).

3625069824 is an abundant number, since it is smaller than the sum of its proper divisors (6867548676).

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

3625069824 is a wasteful number, since it uses less digits than its factorization.

3625069824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3625069824 is about 60208.5527479278. The cubic root of 3625069824 is about 1536.1682758348.

The spelling of 3625069824 in words is "three billion, six hundred twenty-five million, sixty-nine thousand, eight hundred twenty-four".