3890409097744 has 135 divisors (see below), whose sum is σ = 8279730514503. Its totient is φ = 1770058308096.

The previous prime is 3890409097727. The next prime is 3890409097759. The reversal of 3890409097744 is 4477909040983.

The square root of 3890409097744 is 1972412.

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 1309571344 + 3889099526400 = 36188^2 + 1972080^2 .

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, 8512929964 + ... + 8512930420.

Almost surely, 2^{3890409097744} is an apocalyptic number.

3890409097744 is the 1972412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890409097744

3890409097744 is an abundant number, since it is smaller than the sum of its proper divisors (4389321416759).

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

3890409097744 is an frugal number, since it uses more digits than its factorization.

3890409097744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

Multiplying 3890409097744 by its sum of digits (64), we get a square (248986182255616 = 15779296²).

The spelling of 3890409097744 in words is "three trillion, eight hundred ninety billion, four hundred nine million, ninety-seven thousand, seven hundred forty-four".