3475321920 has 672 divisors, whose sum is σ = 14784506880. Its totient is φ = 731566080.

The previous prime is 3475321897. The next prime is 3475321921. The reversal of 3475321920 is 291235743.

3475321920 is a `hidden beast` number, since 34 + 7 + 532 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×3475321920³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3475321921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16470615 + ... + 16470825.

Almost surely, 2^3475321920 is an apocalyptic number.

3475321920 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 3475321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392253440).

3475321920 is an abundant number, since it is smaller than the sum of its proper divisors (11309184960).

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

3475321920 is a wasteful number, since it uses less digits than its factorization.

3475321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3475321920 is about 58951.8610393260. The cubic root of 3475321920 is about 1514.7176286469.

The spelling of 3475321920 in words is "three billion, four hundred seventy-five million, three hundred twenty-one thousand, nine hundred twenty".