3363372480 has 448 divisors, whose sum is σ = 12387852288. Its totient is φ = 765788160.

The previous prime is 3363372479. The next prime is 3363372583. The reversal of 3363372480 is 842733633.

3363372480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3363372480² = 22624548878442700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17609185 + ... + 17609375.

It is an arithmetic number, because the mean of its divisors is an integer number (27651456).

Almost surely, 2^3363372480 is an apocalyptic number.

3363372480 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 3363372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193926144).

3363372480 is an abundant number, since it is smaller than the sum of its proper divisors (9024479808).

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

3363372480 is a wasteful number, since it uses less digits than its factorization.

3363372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 3363372480 is about 57994.5900925250. The cubic root of 3363372480 is about 1498.2754224258.

The spelling of 3363372480 in words is "three billion, three hundred sixty-three million, three hundred seventy-two thousand, four hundred eighty".