3363494400 has 720 divisors, whose sum is σ = 14221631424. Its totient is φ = 743178240.

The previous prime is 3363494369. The next prime is 3363494413. The reversal of 3363494400 is 44943633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3363494400² = 22626189157662720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34675152 + ... + 34675248.

Almost surely, 2^3363494400 is an apocalyptic number.

3363494400 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 3363494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110815712).

3363494400 is an abundant number, since it is smaller than the sum of its proper divisors (10858137024).

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

3363494400 is a wasteful number, since it uses less digits than its factorization.

3363494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3363494400 is about 57995.6412155258. The cubic root of 3363494400 is about 1498.2935260339.

The spelling of 3363494400 in words is "three billion, three hundred sixty-three million, four hundred ninety-four thousand, four hundred".