3437365248 has 144 divisors (see below), whose sum is σ = 10296926640. Its totient is φ = 1145622528.

The previous prime is 3437365241. The next prime is 3437365271. The reversal of 3437365248 is 8425637343.

3437365248 is a `hidden beast` number, since 3 + 43 + 7 + 365 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (1451520) is a multiple of the sum of its prime divisors (6912).

It is not an unprimeable number, because it can be changed into a prime (3437365241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494211 + ... + 501117.

It is an arithmetic number, because the mean of its divisors is an integer number (71506435).

Almost surely, 2^3437365248 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 3437365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148463320).

3437365248 is an abundant number, since it is smaller than the sum of its proper divisors (6859561392).

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

3437365248 is an frugal number, since it uses more digits than its factorization.

3437365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6912 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3437365248 is about 58629.0478176134. The cubic root of 3437365248 is about 1509.1829634006.

The spelling of 3437365248 in words is "three billion, four hundred thirty-seven million, three hundred sixty-five thousand, two hundred forty-eight".