3470066496 has 336 divisors, whose sum is σ = 11143536768. Its totient is φ = 1025740800.

The previous prime is 3470066449. The next prime is 3470066507. The reversal of 3470066496 is 6946600743.

3470066496 is a `hidden beast` number, since 34 + 70 + 0 + 66 + 496 = 666.

It is a super-2 number, since 2×3470066496² = 24082722973323436032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32430475 + ... + 32430581.

It is an arithmetic number, because the mean of its divisors is an integer number (33165288).

Almost surely, 2^3470066496 is an apocalyptic number.

3470066496 is a gapful number since it is divisible by the number (36) 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 3470066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571768384).

3470066496 is an abundant number, since it is smaller than the sum of its proper divisors (7673470272).

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

3470066496 is a wasteful number, since it uses less digits than its factorization.

3470066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3470066496 is about 58907.2703153015. The cubic root of 3470066496 is about 1513.9537186569.

The spelling of 3470066496 in words is "three billion, four hundred seventy million, sixty-six thousand, four hundred ninety-six".