3365398400 has 432 divisors, whose sum is σ = 10554503040. Its totient is φ = 1056706560.

The previous prime is 3365398391. The next prime is 3365398411. The reversal of 3365398400 is 48935633.

It is a super-2 number, since 2×3365398400² = 22651812781445120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 26499137 + ... + 26499263.

It is an arithmetic number, because the mean of its divisors is an integer number (24431720).

Almost surely, 2^3365398400 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 3365398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277251520).

3365398400 is an abundant number, since it is smaller than the sum of its proper divisors (7189104640).

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

3365398400 is a wasteful number, since it uses less digits than its factorization.

3365398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 3365398400 is about 58012.0539198536. The cubic root of 3365398400 is about 1498.5761896778.

The spelling of 3365398400 in words is "three billion, three hundred sixty-five million, three hundred ninety-eight thousand, four hundred".