3485493312 has 224 divisors, whose sum is σ = 11055120384. Its totient is φ = 948326400.

The previous prime is 3485493311. The next prime is 3485493317. The reversal of 3485493312 is 2133945843.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3485493311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2368737 + ... + 2370207.

It is an arithmetic number, because the mean of its divisors is an integer number (49353216).

Almost surely, 2^3485493312 is an apocalyptic number.

3485493312 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 3485493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527560192).

3485493312 is an abundant number, since it is smaller than the sum of its proper divisors (7569627072).

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

3485493312 is a wasteful number, since it uses less digits than its factorization.

3485493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 3485493312 is about 59038.0666350110. The cubic root of 3485493312 is about 1516.1939216754.

The spelling of 3485493312 in words is "three billion, four hundred eighty-five million, four hundred ninety-three thousand, three hundred twelve".