3477225024 has 567 divisors, whose sum is σ = 13036736817. Its totient is φ = 917070336.

The previous prime is 3477225013. The next prime is 3477225061. The reversal of 3477225024 is 4205227743.

It is a happy number.

The square root of 3477225024 is 58968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 514382400 + 2962842624 = 22680^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (567).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3477225024.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 267478842 + ... + 267478854.

Almost surely, 2^3477225024 is an apocalyptic number.

3477225024 is the 58968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3477225024

3477225024 is an abundant number, since it is smaller than the sum of its proper divisors (9559511793).

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

3477225024 is an frugal number, since it uses more digits than its factorization.

3477225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The cubic root of 3477225024 is about 1514.9940672251.

Multiplying 3477225024 by its sum of digits (36), we get a square (125180100864 = 353808²).

3477225024 divided by its sum of digits (36) gives a square (96589584 = 9828²).

The spelling of 3477225024 in words is "three billion, four hundred seventy-seven million, two hundred twenty-five thousand, twenty-four".