3466946340 has 768 divisors, whose sum is σ = 14224896000. Its totient is φ = 686776320.

The previous prime is 3466946339. The next prime is 3466946381. The reversal of 3466946340 is 436496643.

3466946340 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 9 + 4 + 634 + 0 = 666.

3466946340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24941991 + ... + 24942129.

It is an arithmetic number, because the mean of its divisors is an integer number (18522000).

Almost surely, 2^3466946340 is an apocalyptic number.

3466946340 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 3466946340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448000).

3466946340 is an abundant number, since it is smaller than the sum of its proper divisors (10757949660).

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

3466946340 is a wasteful number, since it uses less digits than its factorization.

3466946340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The square root of 3466946340 is about 58880.7807353129. The cubic root of 3466946340 is about 1513.4998187767.

The spelling of 3466946340 in words is "three billion, four hundred sixty-six million, nine hundred forty-six thousand, three hundred forty".