3412281600 has 1296 divisors, whose sum is σ = 16180631040. Its totient is φ = 696729600.

The previous prime is 3412281577. The next prime is 3412281601. The reversal of 3412281600 is 61822143.

3412281600 is a `hidden beast` number, since 34 + 1 + 2 + 28 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3412281601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110073585 + ... + 110073615.

Almost surely, 2^3412281600 is an apocalyptic number.

3412281600 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 3412281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090315520).

3412281600 is an abundant number, since it is smaller than the sum of its proper divisors (12768349440).

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

3412281600 is a wasteful number, since it uses less digits than its factorization.

3412281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

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

The square root of 3412281600 is about 58414.7378663981. The cubic root of 3412281600 is about 1505.5029867363.

The spelling of 3412281600 in words is "three billion, four hundred twelve million, two hundred eighty-one thousand, six hundred".