3396866400 has 432 divisors, whose sum is σ = 12642503328. Its totient is φ = 857088000.

The previous prime is 3396866393. The next prime is 3396866443. The reversal of 3396866400 is 46686933.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10922245 + ... + 10922555.

It is an arithmetic number, because the mean of its divisors is an integer number (29265054).

Almost surely, 2^3396866400 is an apocalyptic number.

3396866400 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 3396866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321251664).

3396866400 is an abundant number, since it is smaller than the sum of its proper divisors (9245636928).

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

3396866400 is a wasteful number, since it uses less digits than its factorization.

3396866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3396866400 is about 58282.6423560223. The cubic root of 3396866400 is about 1503.2324956440.

The spelling of 3396866400 in words is "three billion, three hundred ninety-six million, eight hundred sixty-six thousand, four hundred".