3234494340900 has 189 divisors, whose sum is σ = 10525045151523. Its totient is φ = 862402334400.

The previous prime is 3234494340841. The next prime is 3234494340923. The reversal of 3234494340900 is 90434944323.

The square root of 3234494340900 is 1798470.

It is a perfect power (a square), and thus also a powerful number.

3234494340900 is a `hidden beast` number, since 3 + 2 + 34 + 494 + 3 + 40 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 485477284644 + 2749017056256 = 696762^2 + 1658016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 485583570 + ... + 485590230.

Almost surely, 2^{3234494340900} is an apocalyptic number.

3234494340900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3234494340900 is the 1798470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234494340900

3234494340900 is an abundant number, since it is smaller than the sum of its proper divisors (7290550810623).

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

3234494340900 is an frugal number, since it uses more digits than its factorization.

3234494340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13354 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3234494340900 in words is "three trillion, two hundred thirty-four billion, four hundred ninety-four million, three hundred forty thousand, nine hundred".