3331238400 has 960 divisors, whose sum is σ = 14978684160. Its totient is φ = 716636160.

The previous prime is 3331238399. The next prime is 3331238401. The reversal of 3331238400 is 48321333.

It is an interprime number because it is at equal distance from previous prime (3331238399) and next prime (3331238401).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3331238400² = 22194298555269120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3331238401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195955192 + ... + 195955208.

It is an arithmetic number, because the mean of its divisors is an integer number (15602796).

Almost surely, 2^3331238400 is an apocalyptic number.

3331238400 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 3331238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489342080).

3331238400 is an abundant number, since it is smaller than the sum of its proper divisors (11647445760).

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

3331238400 is an frugal number, since it uses more digits than its factorization.

3331238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3331238400 is about 57716.8814126335. The cubic root of 3331238400 is about 1493.4885751309.

Adding to 3331238400 its reverse (48321333), we get a palindrome (3379559733).

The spelling of 3331238400 in words is "three billion, three hundred thirty-one million, two hundred thirty-eight thousand, four hundred".