3495828240 has 320 divisors, whose sum is σ = 12813465600. Its totient is φ = 873524736.

The previous prime is 3495828239. The next prime is 3495828257. The reversal of 3495828240 is 428285943.

3495828240 is a `hidden beast` number, since 3 + 49 + 582 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4226707 + ... + 4227533.

It is an arithmetic number, because the mean of its divisors is an integer number (40042080).

Almost surely, 2^3495828240 is an apocalyptic number.

3495828240 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 3495828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406732800).

3495828240 is an abundant number, since it is smaller than the sum of its proper divisors (9317637360).

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

3495828240 is a wasteful number, since it uses less digits than its factorization.

3495828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3495828240 is about 59125.5295113710. The cubic root of 3495828240 is about 1517.6910118025.

The spelling of 3495828240 in words is "three billion, four hundred ninety-five million, eight hundred twenty-eight thousand, two hundred forty".