3456482400 has 216 divisors, whose sum is σ = 13929827184. Its totient is φ = 790041600.

The previous prime is 3456482377. The next prime is 3456482401. The reversal of 3456482400 is 42846543.

3456482400 is a `hidden beast` number, since 3 + 4 + 5 + 648 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456482401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16110 + ... + 84690.

Almost surely, 2^3456482400 is an apocalyptic number.

3456482400 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 3456482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964913592).

3456482400 is an abundant number, since it is smaller than the sum of its proper divisors (10473344784).

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

3456482400 is a wasteful number, since it uses less digits than its factorization.

3456482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68614 (or 68598 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3456482400 is about 58791.8565789515. The cubic root of 3456482400 is about 1511.9756021930.

It can be divided in two parts, 34564 and 82400, that added together give a square (116964 = 342²).

The spelling of 3456482400 in words is "three billion, four hundred fifty-six million, four hundred eighty-two thousand, four hundred".