3363242400 has 324 divisors, whose sum is σ = 13797347382. Its totient is φ = 768660480.

The previous prime is 3363242339. The next prime is 3363242437. The reversal of 3363242400 is 42423633.

It is a happy number.

3363242400 is a `hidden beast` number, since 3 + 3 + 632 + 4 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1915287696 + 1447954704 = 43764^2 + 38052^2 .

It is a super-2 number, since 2×3363242400² = 22622798882315520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 348034 + ... + 357566.

Almost surely, 2^3363242400 is an apocalyptic number.

3363242400 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 3363242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898673691).

3363242400 is an abundant number, since it is smaller than the sum of its proper divisors (10434104982).

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

3363242400 is a wasteful number, since it uses less digits than its factorization.

3363242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9573 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3363242400 is about 57993.4685977654. The cubic root of 3363242400 is about 1498.2561066764.

It can be divided in two parts, 336324 and 2400, that added together give a square (338724 = 582²).

The spelling of 3363242400 in words is "three billion, three hundred sixty-three million, two hundred forty-two thousand, four hundred".