3437873712 has 540 divisors, whose sum is σ = 12843898920. Its totient is φ = 877443840.

The previous prime is 3437873639. The next prime is 3437873723. The reversal of 3437873712 is 2173787343.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (592704) is a multiple of the sum of its prime divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 110899137 + ... + 110899167.

It is an arithmetic number, because the mean of its divisors is an integer number (23784998).

Almost surely, 2^3437873712 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 3437873712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421949460).

3437873712 is an abundant number, since it is smaller than the sum of its proper divisors (9406025208).

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

3437873712 is a wasteful number, since it uses less digits than its factorization.

3437873712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 56 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 3437873712 is about 58633.3839378216. The cubic root of 3437873712 is about 1509.2573738204.

The spelling of 3437873712 in words is "three billion, four hundred thirty-seven million, eight hundred seventy-three thousand, seven hundred twelve".