3475731409920 has 3168 divisors, whose sum is σ = 16292614980096. Its totient is φ = 702303436800.

The previous prime is 3475731409897. The next prime is 3475731409967. The reversal of 3475731409920 is 299041375743.

3475731409920 is a `hidden beast` number, since 3 + 4 + 7 + 573 + 1 + 40 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47612759004 + ... + 47612759076.

Almost surely, 2^{3475731409920} is an apocalyptic number.

3475731409920 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 3475731409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146307490048).

3475731409920 is an abundant number, since it is smaller than the sum of its proper divisors (12816883570176).

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

3475731409920 is a wasteful number, since it uses less digits than its factorization.

3475731409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 3475731409920 in words is "three trillion, four hundred seventy-five billion, seven hundred thirty-one million, four hundred nine thousand, nine hundred twenty".