3240946800 has 540 divisors, whose sum is σ = 13936791024. Its totient is φ = 682905600.

The previous prime is 3240946799. The next prime is 3240946811. The reversal of 3240946800 is 86490423.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4258420 + ... + 4259180.

Almost surely, 2^3240946800 is an apocalyptic number.

3240946800 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 3240946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968395512).

3240946800 is an abundant number, since it is smaller than the sum of its proper divisors (10695844224).

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

3240946800 is a wasteful number, since it uses less digits than its factorization.

3240946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3240946800 is about 56929.3140657781. The cubic root of 3240946800 is about 1479.8713669552.

The spelling of 3240946800 in words is "three billion, two hundred forty million, nine hundred forty-six thousand, eight hundred".