3466794240 has 432 divisors, whose sum is σ = 14767229568. Its totient is φ = 731234304.

The previous prime is 3466794211. The next prime is 3466794251. The reversal of 3466794240 is 424976643.

It is a happy number.

3466794240 is a `hidden beast` number, since 346 + 67 + 9 + 4 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046667 + ... + 1049973.

Almost surely, 2^3466794240 is an apocalyptic number.

3466794240 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 3466794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383614784).

3466794240 is an abundant number, since it is smaller than the sum of its proper divisors (11300435328).

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

3466794240 is a wasteful number, since it uses less digits than its factorization.

3466794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3466794240 is about 58879.4891282185. The cubic root of 3466794240 is about 1513.4776853037.

The spelling of 3466794240 in words is "three billion, four hundred sixty-six million, seven hundred ninety-four thousand, two hundred forty".