3450412800 has 324 divisors, whose sum is σ = 12677235480. Its totient is φ = 894689280.

The previous prime is 3450412783. The next prime is 3450412831. The reversal of 3450412800 is 82140543.

3450412800 is a `hidden beast` number, since 34 + 504 + 128 + 0 + 0 = 666.

It is a congruent number.

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, 2130391 + ... + 2132009.

It is an arithmetic number, because the mean of its divisors is an integer number (39127270).

Almost surely, 2^3450412800 is an apocalyptic number.

3450412800 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 3450412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338617740).

3450412800 is an abundant number, since it is smaller than the sum of its proper divisors (9226822680).

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

3450412800 is a wasteful number, since it uses less digits than its factorization.

3450412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3450412800 is about 58740.2145042049. The cubic root of 3450412800 is about 1511.0900714743.

The spelling of 3450412800 in words is "three billion, four hundred fifty million, four hundred twelve thousand, eight hundred".