3380224500 has 384 divisors, whose sum is σ = 11623772160. Its totient is φ = 846720000.

The previous prime is 3380224499. The next prime is 3380224511. The reversal of 3380224500 is 54220833.

3380224500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3380224500² = 22851835340800500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17158402 + ... + 17158598.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^3380224500 is an apocalyptic number.

3380224500 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 3380224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811886080).

3380224500 is an abundant number, since it is smaller than the sum of its proper divisors (8243547660).

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

3380224500 is a wasteful number, since it uses less digits than its factorization.

3380224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3380224500 is about 58139.6981416312. The cubic root of 3380224500 is about 1500.7736009591.

The spelling of 3380224500 in words is "three billion, three hundred eighty million, two hundred twenty-four thousand, five hundred".