3430166400 has 576 divisors, whose sum is σ = 13346802000. Its totient is φ = 859299840.

The previous prime is 3430166357. The next prime is 3430166417. The reversal of 3430166400 is 46610343.

3430166400 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 16 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 92707182 + ... + 92707218.

Almost surely, 2^3430166400 is an apocalyptic number.

3430166400 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 3430166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673401000).

3430166400 is an abundant number, since it is smaller than the sum of its proper divisors (9916635600).

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

3430166400 is a wasteful number, since it uses less digits than its factorization.

3430166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 76 counting only the distinct ones).

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

The square root of 3430166400 is about 58567.6224547318. The cubic root of 3430166400 is about 1508.1286702424.

Adding to 3430166400 its reverse (46610343), we get a palindrome (3476776743).

The spelling of 3430166400 in words is "three billion, four hundred thirty million, one hundred sixty-six thousand, four hundred".