3437681840 has 160 divisors (see below), whose sum is σ = 8483861760. Its totient is φ = 1293926400.

The previous prime is 3437681833. The next prime is 3437681851. The reversal of 3437681840 is 481867343.

It is a junction number, because it is equal to n+sod(n) for n = 3437681791 and 3437681800.

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 31 ways as a sum of consecutive naturals, for example, 14264120 + ... + 14264360.

It is an arithmetic number, because the mean of its divisors is an integer number (53024136).

Almost surely, 2^3437681840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3437681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241930880).

3437681840 is an abundant number, since it is smaller than the sum of its proper divisors (5046179920).

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

3437681840 is a wasteful number, since it uses less digits than its factorization.

3437681840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 3437681840 is about 58631.7477140158. The cubic root of 3437681840 is about 1509.2292954554.

The spelling of 3437681840 in words is "three billion, four hundred thirty-seven million, six hundred eighty-one thousand, eight hundred forty".