3334802400 has 360 divisors, whose sum is σ = 12403596744. Its totient is φ = 871603200.

The previous prime is 3334802377. The next prime is 3334802437. The reversal of 3334802400 is 42084333.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3334802400² = 22241814094091520000, 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 59 ways as a sum of consecutive naturals, for example, 3433915 + ... + 3434885.

Almost surely, 2^3334802400 is an apocalyptic number.

3334802400 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 3334802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201798372).

3334802400 is an abundant number, since it is smaller than the sum of its proper divisors (9068794344).

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

3334802400 is a wasteful number, since it uses less digits than its factorization.

3334802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3334802400 is about 57747.7480080392. The cubic root of 3334802400 is about 1494.0209993661.

Adding to 3334802400 its reverse (42084333), we get a palindrome (3376886733).

The spelling of 3334802400 in words is "three billion, three hundred thirty-four million, eight hundred two thousand, four hundred".