3357138400 has 144 divisors (see below), whose sum is σ = 10218096000. Its totient is φ = 1046361600.

The previous prime is 3357138391. The next prime is 3357138403. The reversal of 3357138400 is 48317533.

It is a super-2 number, since 2×3357138400² = 22540756473509120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357138403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34351 + ... + 88849.

It is an arithmetic number, because the mean of its divisors is an integer number (70959000).

Almost surely, 2^3357138400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3357138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109048000).

3357138400 is an abundant number, since it is smaller than the sum of its proper divisors (6860957600).

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

3357138400 is a wasteful number, since it uses less digits than its factorization.

3357138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54537 (or 54524 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 3357138400 is about 57940.8180819015. The cubic root of 3357138400 is about 1497.3491551444.

The spelling of 3357138400 in words is "three billion, three hundred fifty-seven million, one hundred thirty-eight thousand, four hundred".