3437646744 has 192 divisors, whose sum is σ = 10609660800. Its totient is φ = 922876416.

The previous prime is 3437646743. The next prime is 3437646767. The reversal of 3437646744 is 4476467343.

3437646744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3437646693 and 3437646702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437646743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3060567 + ... + 3061689.

It is an arithmetic number, because the mean of its divisors is an integer number (55258650).

Almost surely, 2^3437646744 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 3437646744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304830400).

3437646744 is an abundant number, since it is smaller than the sum of its proper divisors (7172014056).

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

3437646744 is a wasteful number, since it uses less digits than its factorization.

3437646744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1291 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The square root of 3437646744 is about 58631.4484214743. The cubic root of 3437646744 is about 1509.2241594273.

The spelling of 3437646744 in words is "three billion, four hundred thirty-seven million, six hundred forty-six thousand, seven hundred forty-four".