3331706400 has 864 divisors, whose sum is σ = 14039101440. Its totient is φ = 734976000.

The previous prime is 3331706381. The next prime is 3331706407. The reversal of 3331706400 is 46071333.

It is a happy number.

3331706400 is a `hidden beast` number, since 3 + 3 + 3 + 17 + 0 + 640 + 0 = 666.

It is a super-2 number, since 2×3331706400² = 22200535071601920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331706407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56469571 + ... + 56469629.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^3331706400 is an apocalyptic number.

3331706400 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 3331706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019550720).

3331706400 is an abundant number, since it is smaller than the sum of its proper divisors (10707395040).

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

3331706400 is a wasteful number, since it uses less digits than its factorization.

3331706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3331706400 is about 57720.9355433538. The cubic root of 3331706400 is about 1493.5585110766.

Adding to 3331706400 its reverse (46071333), we get a palindrome (3377777733).

The spelling of 3331706400 in words is "three billion, three hundred thirty-one million, seven hundred six thousand, four hundred".