3412861200 has 180 divisors, whose sum is σ = 13535615808. Its totient is φ = 780076800.

The previous prime is 3412861183. The next prime is 3412861217. The reversal of 3412861200 is 21682143.

3412861200 is a `hidden beast` number, since 3 + 41 + 2 + 8 + 612 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3412861183) and next prime (3412861217).

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42516 + ... + 92915.

Almost surely, 2^3412861200 is an apocalyptic number.

3412861200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412861200 is an abundant number, since it is smaller than the sum of its proper divisors (10122754608).

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

3412861200 is a wasteful number, since it uses less digits than its factorization.

3412861200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135462 (or 135448 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3412861200 is about 58419.6987325337. The cubic root of 3412861200 is about 1505.5882219966.

The spelling of 3412861200 in words is "three billion, four hundred twelve million, eight hundred sixty-one thousand, two hundred".