3473922816 has 540 divisors, whose sum is σ = 13026060432. Its totient is φ = 912715776.

The previous prime is 3473922787. The next prime is 3473922827. The reversal of 3473922816 is 6182293743.

3473922816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13208701 + ... + 13208963.

Almost surely, 2^3473922816 is an apocalyptic number.

3473922816 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 3473922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513030216).

3473922816 is an abundant number, since it is smaller than the sum of its proper divisors (9552137616).

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

3473922816 is a wasteful number, since it uses less digits than its factorization.

3473922816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 288 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3473922816 is about 58939.9933491683. The cubic root of 3473922816 is about 1514.5143350628.

The spelling of 3473922816 in words is "three billion, four hundred seventy-three million, nine hundred twenty-two thousand, eight hundred sixteen".