3264634800 has 720 divisors, whose sum is σ = 14022912000. Its totient is φ = 718502400.

The previous prime is 3264634781. The next prime is 3264634843. The reversal of 3264634800 is 84364623.

It is a happy number.

3264634800 is a `hidden beast` number, since 3 + 2 + 646 + 3 + 4 + 8 + 0 + 0 = 666.

3264634800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 16405101 + ... + 16405299.

Almost surely, 2^3264634800 is an apocalyptic number.

3264634800 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 3264634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011456000).

3264634800 is an abundant number, since it is smaller than the sum of its proper divisors (10758277200).

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

3264634800 is a wasteful number, since it uses less digits than its factorization.

3264634800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3264634800 is about 57136.9827694813. The cubic root of 3264634800 is about 1483.4680661469.

The spelling of 3264634800 in words is "three billion, two hundred sixty-four million, six hundred thirty-four thousand, eight hundred".