3303350400 has 192 divisors, whose sum is σ = 12435007680. Its totient is φ = 755036160.

The previous prime is 3303350377. The next prime is 3303350411. The reversal of 3303350400 is 40533033.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42622 + ... + 91778.

It is an arithmetic number, because the mean of its divisors is an integer number (64765665).

Almost surely, 2^3303350400 is an apocalyptic number.

3303350400 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 3303350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217503840).

3303350400 is an abundant number, since it is smaller than the sum of its proper divisors (9131657280).

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

3303350400 is a wasteful number, since it uses less digits than its factorization.

3303350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49191 (or 49174 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 21.

The square root of 3303350400 is about 57474.7805563449. The cubic root of 3303350400 is about 1489.3092304270.

Adding to 3303350400 its reverse (40533033), we get a palindrome (3343883433).

The spelling of 3303350400 in words is "three billion, three hundred three million, three hundred fifty thousand, four hundred".