3333422400 has 672 divisors, whose sum is σ = 14150522880. Its totient is φ = 666624000.

The previous prime is 3333422383. The next prime is 3333422423. The reversal of 3333422400 is 42243333.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3333422400² = 22223409793643520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10718245 + ... + 10718555.

Almost surely, 2^3333422400 is an apocalyptic number.

3333422400 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 3333422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075261440).

3333422400 is an abundant number, since it is smaller than the sum of its proper divisors (10817100480).

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

3333422400 is a wasteful number, since it uses less digits than its factorization.

3333422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3333422400 is about 57735.7982537697. The cubic root of 3333422400 is about 1493.8148868600.

Adding to 3333422400 its reverse (42243333), we get a palindrome (3375665733).

It can be divided in two parts, 33 and 33422400, that added together give a palindrome (33422433).

The spelling of 3333422400 in words is "three billion, three hundred thirty-three million, four hundred twenty-two thousand, four hundred".