3366140400 has 360 divisors, whose sum is σ = 13432473600. Its totient is φ = 764674560.

The previous prime is 3366140383. The next prime is 3366140417. The reversal of 3366140400 is 40416633.

3366140400 is a `hidden beast` number, since 3 + 3 + 6 + 614 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3366140383) and next prime (3366140417).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3366140400² = 22661802385024320000, 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 71 ways as a sum of consecutive naturals, for example, 5619301 + ... + 5619899.

Almost surely, 2^3366140400 is an apocalyptic number.

3366140400 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 3366140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716236800).

3366140400 is an abundant number, since it is smaller than the sum of its proper divisors (10066333200).

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

3366140400 is a wasteful number, since it uses less digits than its factorization.

3366140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3366140400 is about 58018.4487900185. The cubic root of 3366140400 is about 1498.6863164930.

The spelling of 3366140400 in words is "three billion, three hundred sixty-six million, one hundred forty thousand, four hundred".