3493601280 has 504 divisors, whose sum is σ = 13542908652. Its totient is φ = 859963392.

The previous prime is 3493601233. The next prime is 3493601297. The reversal of 3493601280 is 821063943.

3493601280 is a `hidden beast` number, since 3 + 49 + 3 + 601 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3251736576 + 241864704 = 57024^2 + 15552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268738554 + ... + 268738566.

Almost surely, 2^3493601280 is an apocalyptic number.

3493601280 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 3493601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771454326).

3493601280 is an abundant number, since it is smaller than the sum of its proper divisors (10049307372).

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

3493601280 is an frugal number, since it uses more digits than its factorization.

3493601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3493601280 is about 59106.6940371393. The cubic root of 3493601280 is about 1517.3686699627.

The spelling of 3493601280 in words is "three billion, four hundred ninety-three million, six hundred one thousand, two hundred eighty".