3225153120 has 96 divisors (see below), whose sum is σ = 11610563328. Its totient is φ = 737177088.

The previous prime is 3225153101. The next prime is 3225153163. The reversal of 3225153120 is 213515223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3225153120² = 20803225294891468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476574 + ... + 483293.

It is an arithmetic number, because the mean of its divisors is an integer number (120943368).

Almost surely, 2^3225153120 is an apocalyptic number.

3225153120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3225153120 is an abundant number, since it is smaller than the sum of its proper divisors (8385410208).

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

3225153120 is a wasteful number, since it uses less digits than its factorization.

3225153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959892 (or 959884 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3225153120 is about 56790.4315884287. The cubic root of 3225153120 is about 1477.4635639676.

Adding to 3225153120 its reverse (213515223), we get a palindrome (3438668343).

The spelling of 3225153120 in words is "three billion, two hundred twenty-five million, one hundred fifty-three thousand, one hundred twenty".