3234782400 has 168 divisors, whose sum is σ = 10685458944. Its totient is φ = 856704000.

The previous prime is 3234782339. The next prime is 3234782417. The reversal of 3234782400 is 42874323.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722569 + ... + 727031.

Almost surely, 2^3234782400 is an apocalyptic number.

3234782400 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 3234782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342729472).

3234782400 is an abundant number, since it is smaller than the sum of its proper divisors (7450676544).

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

3234782400 is a wasteful number, since it uses less digits than its factorization.

3234782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3234782400 is about 56875.1474723363. The cubic root of 3234782400 is about 1478.9325148721.

The spelling of 3234782400 in words is "three billion, two hundred thirty-four million, seven hundred eighty-two thousand, four hundred".