3367938400 has 72 divisors (see below), whose sum is σ = 8286969600. Its totient is φ = 1336527360.

The previous prime is 3367938397. The next prime is 3367938401. The reversal of 3367938400 is 48397633.

It is a super-2 number, since 2×3367938400² = 22686018132389120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3367938401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85026 + ... + 118174.

It is an arithmetic number, because the mean of its divisors is an integer number (115096800).

Almost surely, 2^3367938400 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 3367938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143484800).

3367938400 is an abundant number, since it is smaller than the sum of its proper divisors (4919031200).

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

3367938400 is a wasteful number, since it uses less digits than its factorization.

3367938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33296 (or 33283 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 3367938400 is about 58033.9417927130. The cubic root of 3367938400 is about 1498.9531065498.

The spelling of 3367938400 in words is "three billion, three hundred sixty-seven million, nine hundred thirty-eight thousand, four hundred".