3488463392 has 54 divisors (see below), whose sum is σ = 7035653583. Its totient is φ = 1702634752.

The previous prime is 3488463373. The next prime is 3488463397. The reversal of 3488463392 is 2933648843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3462616336 + 25847056 = 58844^2 + 5084^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=41764.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3488463392.

It is not an unprimeable number, because it can be changed into a prime (3488463397) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17707838 + ... + 17708034.

Almost surely, 2^3488463392 is an apocalyptic number.

3488463392 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 3488463392

3488463392 is an abundant number, since it is smaller than the sum of its proper divisors (3547190191).

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

3488463392 is an frugal number, since it uses more digits than its factorization.

3488463392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 252 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The square root of 3488463392 is about 59063.2152189499. The cubic root of 3488463392 is about 1516.6244622371.

Multiplying 3488463392 by its sum of digits (50), we get a square (174423169600 = 417640²).

The spelling of 3488463392 in words is "three billion, four hundred eighty-eight million, four hundred sixty-three thousand, three hundred ninety-two".