3437649920 has 224 divisors, whose sum is σ = 8917594560. Its totient is φ = 1268776960.

The previous prime is 3437649913. The next prime is 3437649949. The reversal of 3437649920 is 299467343.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38625236 + ... + 38625324.

It is an arithmetic number, because the mean of its divisors is an integer number (39810690).

Almost surely, 2^3437649920 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 3437649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458797280).

3437649920 is an abundant number, since it is smaller than the sum of its proper divisors (5479944640).

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

3437649920 is an equidigital number, since it uses as much as digits as its factorization.

3437649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The square root of 3437649920 is about 58631.4755059089. The cubic root of 3437649920 is about 1509.2246242118.

The spelling of 3437649920 in words is "three billion, four hundred thirty-seven million, six hundred forty-nine thousand, nine hundred twenty".