3437731308544 has 99 divisors (see below), whose sum is σ = 7443062271507. Its totient is φ = 1586289229824.

The previous prime is 3437731308541. The next prime is 3437731308553. The reversal of 3437731308544 is 4458031377343.

The square root of 3437731308544 is 1854112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 113089618944 + 3324641689600 = 336288^2 + 1823360^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3437731308491 and 3437731308500.

It is not an unprimeable number, because it can be changed into a prime (3437731308541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 771308364 + ... + 771312820.

Almost surely, 2^{3437731308544} is an apocalyptic number.

3437731308544 is the 1854112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3437731308544

3437731308544 is an abundant number, since it is smaller than the sum of its proper divisors (4005330962963).

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

3437731308544 is an frugal number, since it uses more digits than its factorization.

3437731308544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 52.

The spelling of 3437731308544 in words is "three trillion, four hundred thirty-seven billion, seven hundred thirty-one million, three hundred eight thousand, five hundred forty-four".