3475023552 has 896 divisors, whose sum is σ = 14337792000. Its totient is φ = 812851200.

The previous prime is 3475023527. The next prime is 3475023557. The reversal of 3475023552 is 2553205743.

3475023552 is a `hidden beast` number, since 34 + 7 + 50 + 23 + 552 = 666.

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 (3475023557) 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 127 ways as a sum of consecutive naturals, for example, 84756652 + ... + 84756692.

It is an arithmetic number, because the mean of its divisors is an integer number (16002000).

Almost surely, 2^3475023552 is an apocalyptic number.

3475023552 is a gapful number since it is divisible by the number (32) 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 3475023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896000).

3475023552 is an abundant number, since it is smaller than the sum of its proper divisors (10862768448).

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

3475023552 is a wasteful number, since it uses less digits than its factorization.

3475023552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 3475023552 is about 58949.3303778762. The cubic root of 3475023552 is about 1514.6742795497.

The spelling of 3475023552 in words is "three billion, four hundred seventy-five million, twenty-three thousand, five hundred fifty-two".