3468825600 has 396 divisors, whose sum is σ = 12098457792. Its totient is φ = 876134400.

The previous prime is 3468825599. The next prime is 3468825643. The reversal of 3468825600 is 65288643.

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, 73804777 + ... + 73804823.

Almost surely, 2^3468825600 is an apocalyptic number.

3468825600 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 3468825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049228896).

3468825600 is an abundant number, since it is smaller than the sum of its proper divisors (8629632192).

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

3468825600 is a wasteful number, since it uses less digits than its factorization.

3468825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3468825600 is about 58896.7367517081. The cubic root of 3468825600 is about 1513.7732338260.

The spelling of 3468825600 in words is "three billion, four hundred sixty-eight million, eight hundred twenty-five thousand, six hundred".