3438180360 has 96 divisors (see below), whose sum is σ = 11299743000. Its totient is φ = 906537984.

The previous prime is 3438180329. The next prime is 3438180443. The reversal of 3438180360 is 630818343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1630059876 + 1808120484 = 40374^2 + 42522^2 .

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 23 ways as a sum of consecutive naturals, for example, 21615 + ... + 85694.

Almost surely, 2^3438180360 is an apocalyptic number.

3438180360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3438180360 is an abundant number, since it is smaller than the sum of its proper divisors (7861562640).

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

3438180360 is a wasteful number, since it uses less digits than its factorization.

3438180360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107415 (or 107408 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3438180360 is about 58635.9988403029. The cubic root of 3438180360 is about 1509.3022462264.

The spelling of 3438180360 in words is "three billion, four hundred thirty-eight million, one hundred eighty thousand, three hundred sixty".