3228250417920 has 864 divisors, whose sum is σ = 12366679800384. Its totient is φ = 777443082240.

The previous prime is 3228250417877. The next prime is 3228250417949. The reversal of 3228250417920 is 297140528223.

3228250417920 is a `hidden beast` number, since 3 + 22 + 82 + 50 + 417 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2652629152 + ... + 2652630368.

It is an arithmetic number, because the mean of its divisors is an integer number (14313286806).

Almost surely, 2^{3228250417920} is an apocalyptic number.

3228250417920 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 3228250417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183339900192).

3228250417920 is an abundant number, since it is smaller than the sum of its proper divisors (9138429382464).

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

3228250417920 is a wasteful number, since it uses less digits than its factorization.

3228250417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3228250417920 in words is "three trillion, two hundred twenty-eight billion, two hundred fifty million, four hundred seventeen thousand, nine hundred twenty".