3505397040 has 320 divisors, whose sum is σ = 12631334400. Its totient is φ = 892394496.

The previous prime is 3505397033. The next prime is 3505397081. The reversal of 3505397040 is 407935053.

3505397040 is a `hidden beast` number, since 3 + 50 + 539 + 70 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3505396986 and 3505397004.

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, 6702219 + ... + 6702741.

It is an arithmetic number, because the mean of its divisors is an integer number (39472920).

Almost surely, 2^3505397040 is an apocalyptic number.

3505397040 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 3505397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315667200).

3505397040 is an abundant number, since it is smaller than the sum of its proper divisors (9125937360).

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

3505397040 is a wasteful number, since it uses less digits than its factorization.

3505397040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3505397040 is about 59206.3935736674. The cubic root of 3505397040 is about 1519.0744942976.

The spelling of 3505397040 in words is "three billion, five hundred five million, three hundred ninety-seven thousand, forty".