3402412200 has 288 divisors, whose sum is σ = 12536652960. Its totient is φ = 820108800.

The previous prime is 3402412199. The next prime is 3402412267. The reversal of 3402412200 is 22142043.

3402412200 is a `hidden beast` number, since 3 + 402 + 41 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4494222 + ... + 4494978.

It is an arithmetic number, because the mean of its divisors is an integer number (43530045).

Almost surely, 2^3402412200 is an apocalyptic number.

3402412200 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 3402412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268326480).

3402412200 is an abundant number, since it is smaller than the sum of its proper divisors (9134240760).

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

3402412200 is a wasteful number, since it uses less digits than its factorization.

3402412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3402412200 is about 58330.1997253567. The cubic root of 3402412200 is about 1504.0501211700.

Adding to 3402412200 its reverse (22142043), we get a palindrome (3424554243).

The spelling of 3402412200 in words is "three billion, four hundred two million, four hundred twelve thousand, two hundred".