3890266384 has 45 divisors (see below), whose sum is σ = 7803890679. Its totient is φ = 1878644640.

The previous prime is 3890266363. The next prime is 3890266423. The reversal of 3890266384 is 4836620983.

It is a happy number.

The square root of 3890266384 is 62372.

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

It is a super-3 number, since 3×3890266384³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7733877 + ... + 7734379.

Almost surely, 2^3890266384 is an apocalyptic number.

3890266384 is the 62372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890266384

3890266384 is an abundant number, since it is smaller than the sum of its proper divisors (3913624295).

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

3890266384 is an frugal number, since it uses more digits than its factorization.

3890266384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The cubic root of 3890266384 is about 1572.7503124840.

Multiplying 3890266384 by its sum of digits (49), we get a square (190623052816 = 436604²).

The spelling of 3890266384 in words is "three billion, eight hundred ninety million, two hundred sixty-six thousand, three hundred eighty-four".