3399487812900 has 243 divisors, whose sum is σ = 10929025736083. Its totient is φ = 883829587200.

The previous prime is 3399487812887. The next prime is 3399487812953. The reversal of 3399487812900 is 92187849933.

The square root of 3399487812900 is 1843770.

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

3399487812900 is a `hidden beast` number, since 3 + 399 + 4 + 87 + 81 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1430899224804 + 1968588588096 = 1196202^2 + 1403064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2267836351 + ... + 2267837849.

Almost surely, 2^{3399487812900} is an apocalyptic number.

3399487812900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3399487812900 is the 1843770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399487812900

3399487812900 is an abundant number, since it is smaller than the sum of its proper divisors (7529537923183).

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

3399487812900 is a wasteful number, since it uses less digits than its factorization.

3399487812900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 3399487812900 in words is "three trillion, three hundred ninety-nine billion, four hundred eighty-seven million, eight hundred twelve thousand, nine hundred".