3438315440 has 40 divisors (see below), whose sum is σ = 9136096800. Its totient is φ = 1178850816.

The previous prime is 3438315437. The next prime is 3438315443. The reversal of 3438315440 is 445138343.

It is an interprime number because it is at equal distance from previous prime (3438315437) and next prime (3438315443).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3438315440.

It is not an unprimeable number, because it can be changed into a prime (3438315443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3069365 + ... + 3070484.

It is an arithmetic number, because the mean of its divisors is an integer number (228402420).

Almost surely, 2^3438315440 is an apocalyptic number.

It is an amenable number.

3438315440 is an abundant number, since it is smaller than the sum of its proper divisors (5697781360).

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

3438315440 is a wasteful number, since it uses less digits than its factorization.

3438315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139869 (or 6139863 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 3438315440 is about 58637.1506811168. The cubic root of 3438315440 is about 1509.3220119024.

The spelling of 3438315440 in words is "three billion, four hundred thirty-eight million, three hundred fifteen thousand, four hundred forty".