3437740272 has 160 divisors (see below), whose sum is σ = 9914633280. Its totient is φ = 1021296640.

The previous prime is 3437740261. The next prime is 3437740277. The reversal of 3437740272 is 2720477343.

3437740272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3437740272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437740277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252822 + ... + 1255562.

It is an arithmetic number, because the mean of its divisors is an integer number (61966458).

Almost surely, 2^3437740272 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 3437740272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957316640).

3437740272 is an abundant number, since it is smaller than the sum of its proper divisors (6476893008).

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

3437740272 is a wasteful number, since it uses less digits than its factorization.

3437740272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 39.

The square root of 3437740272 is about 58632.2460084892. The cubic root of 3437740272 is about 1509.2378464490.

The spelling of 3437740272 in words is "three billion, four hundred thirty-seven million, seven hundred forty thousand, two hundred seventy-two".