3253894400 has 108 divisors (see below), whose sum is σ = 8478103200. Its totient is φ = 1233008640.

The previous prime is 3253894361. The next prime is 3253894489. The reversal of 3253894400 is 44983523.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108221 + ... + 134979.

Almost surely, 2^3253894400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239051600).

3253894400 is an abundant number, since it is smaller than the sum of its proper divisors (5224208800).

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

3253894400 is a wasteful number, since it uses less digits than its factorization.

3253894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26804 (or 26785 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 3253894400 is about 57042.9171764558. The cubic root of 3253894400 is about 1481.8394464869.

The spelling of 3253894400 in words is "three billion, two hundred fifty-three million, eight hundred ninety-four thousand, four hundred".