3505115040 has 144 divisors (see below), whose sum is σ = 12843829152. Its totient is φ = 801163776.

The previous prime is 3505115023. The next prime is 3505115057. The reversal of 3505115040 is 405115053.

It is an interprime number because it is at equal distance from previous prime (3505115023) and next prime (3505115057).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3505115040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50994 + ... + 98033.

It is an arithmetic number, because the mean of its divisors is an integer number (89193258).

Almost surely, 2^3505115040 is an apocalyptic number.

3505115040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3505115040 is an abundant number, since it is smaller than the sum of its proper divisors (9338714112).

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

3505115040 is a wasteful number, since it uses less digits than its factorization.

3505115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149059 (or 149044 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 3505115040 is about 59204.0120262132. The cubic root of 3505115040 is about 1519.0337580186.

The spelling of 3505115040 in words is "three billion, five hundred five million, one hundred fifteen thousand, forty".