3474335358900 has 216 divisors, whose sum is σ = 12449590258560. Its totient is φ = 793894590720.

The previous prime is 3474335358877. The next prime is 3474335358937. The reversal of 3474335358900 is 98535334743.

3474335358900 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 3 + 3 + 53 + 589 + 0 + 0 = 666.

It is a super-2 number, since 2×3474335358900² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21269337 + ... + 21432063.

Almost surely, 2^{3474335358900} is an apocalyptic number.

3474335358900 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 3474335358900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224795129280).

3474335358900 is an abundant number, since it is smaller than the sum of its proper divisors (8975254899660).

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

3474335358900 is a wasteful number, since it uses less digits than its factorization.

3474335358900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166143 (or 166133 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 3474335358900 in words is "three trillion, four hundred seventy-four billion, three hundred thirty-five million, three hundred fifty-eight thousand, nine hundred".