3466370400 has 144 divisors (see below), whose sum is σ = 11647254528. Its totient is φ = 894528000.

The previous prime is 3466370389. The next prime is 3466370407. The reversal of 3466370400 is 40736643.

3466370400 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466370407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51105 + ... + 97695.

It is an arithmetic number, because the mean of its divisors is an integer number (80883712).

Almost surely, 2^3466370400 is an apocalyptic number.

3466370400 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 3466370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823627264).

3466370400 is an abundant number, since it is smaller than the sum of its proper divisors (8180884128).

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

3466370400 is a wasteful number, since it uses less digits than its factorization.

3466370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46645 (or 46632 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3466370400 is about 58875.8898021932. The cubic root of 3466370400 is about 1513.4160050231.

The spelling of 3466370400 in words is "three billion, four hundred sixty-six million, three hundred seventy thousand, four hundred".