3496413816900 has 243 divisors, whose sum is σ = 11057416289829. Its totient is φ = 924104712960.

The previous prime is 3496413816887. The next prime is 3496413816991. The reversal of 3496413816900 is 96183146943.

The square root of 3496413816900 is 1869870.

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

3496413816900 is a `hidden beast` number, since 3 + 4 + 96 + 413 + 81 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2369130483204 + 1127283333696 = 1539198^2 + 1061736^2 .

It is a super-2 number, since 2×3496413816900² (a number of 26 digits) contains 22 as substring.

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, 8807087502 + ... + 8807087898.

Almost surely, 2^{3496413816900} is an apocalyptic number.

3496413816900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3496413816900 is the 1869870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3496413816900

3496413816900 is an abundant number, since it is smaller than the sum of its proper divisors (7561002472929).

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

3496413816900 is a wasteful number, since it uses less digits than its factorization.

3496413816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3496413816900 in words is "three trillion, four hundred ninety-six billion, four hundred thirteen million, eight hundred sixteen thousand, nine hundred".