3466385700 has 288 divisors, whose sum is σ = 10765977600. Its totient is φ = 859921920.

The previous prime is 3466385687. The next prime is 3466385719. The reversal of 3466385700 is 75836643.

3466385700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43878261 + ... + 43878339.

Almost surely, 2^3466385700 is an apocalyptic number.

3466385700 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 3466385700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382988800).

3466385700 is an abundant number, since it is smaller than the sum of its proper divisors (7299591900).

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

3466385700 is a wasteful number, since it uses less digits than its factorization.

3466385700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3466385700 is about 58876.0197363918. The cubic root of 3466385700 is about 1513.4182316778.

The spelling of 3466385700 in words is "three billion, four hundred sixty-six million, three hundred eighty-five thousand, seven hundred".