3225414528 has 384 divisors, whose sum is σ = 11049292800. Its totient is φ = 884183040.

The previous prime is 3225414523. The next prime is 3225414541. The reversal of 3225414528 is 8254145223.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-5 number, since 5×3225414528⁵ (a number of 49 digits) contains 55555 as substring.

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 = 3225414492 and 3225414501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225414523) 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, 38860375 + ... + 38860457.

It is an arithmetic number, because the mean of its divisors is an integer number (28774200).

Almost surely, 2^3225414528 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 3225414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524646400).

3225414528 is an abundant number, since it is smaller than the sum of its proper divisors (7823878272).

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

3225414528 is a wasteful number, since it uses less digits than its factorization.

3225414528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 3225414528 is about 56792.7330562635. The cubic root of 3225414528 is about 1477.5034804560.

The spelling of 3225414528 in words is "three billion, two hundred twenty-five million, four hundred fourteen thousand, five hundred twenty-eight".