3373221600 has 864 divisors, whose sum is σ = 14975041536. Its totient is φ = 696729600.

The previous prime is 3373221557. The next prime is 3373221611. The reversal of 3373221600 is 61223733.

3373221600 is a `hidden beast` number, since 3 + 3 + 7 + 32 + 21 + 600 = 666.

It is a super-2 number, since 2×3373221600² = 22757247925413120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26560737 + ... + 26560863.

It is an arithmetic number, because the mean of its divisors is an integer number (17332224).

Almost surely, 2^3373221600 is an apocalyptic number.

3373221600 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 3373221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487520768).

3373221600 is an abundant number, since it is smaller than the sum of its proper divisors (11601819936).

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

3373221600 is a wasteful number, since it uses less digits than its factorization.

3373221600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3373221600 is about 58079.4421460813. The cubic root of 3373221600 is about 1499.7364870433.

The spelling of 3373221600 in words is "three billion, three hundred seventy-three million, two hundred twenty-one thousand, six hundred".