3742893838336 has 351 divisors, whose sum is σ = 8312020640721. Its totient is φ = 1684915126272.

The previous prime is 3742893838319. The next prime is 3742893838357. The reversal of 3742893838336 is 6338383982473.

The square root of 3742893838336 is 1934656.

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

It can be written as a sum of positive squares in only one way, i.e., 3349192806400 + 393701031936 = 1830080^2 + 627456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87044042731 + ... + 87044042773.

Almost surely, 2^{3742893838336} is an apocalyptic number.

3742893838336 is the 1934656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742893838336

3742893838336 is an abundant number, since it is smaller than the sum of its proper divisors (4569126802385).

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

3742893838336 is an frugal number, since it uses more digits than its factorization.

3742893838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 101 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 67.

The spelling of 3742893838336 in words is "three trillion, seven hundred forty-two billion, eight hundred ninety-three million, eight hundred thirty-eight thousand, three hundred thirty-six".