3426890544 has 320 divisors, whose sum is σ = 12444917760. Its totient is φ = 876960000.

The previous prime is 3426890527. The next prime is 3426890561. The reversal of 3426890544 is 4450986243.

3426890544 is a `hidden beast` number, since 3 + 4 + 26 + 89 + 0 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (3426890527) and next prime (3426890561).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3426890544.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2361019 + ... + 2362469.

It is an arithmetic number, because the mean of its divisors is an integer number (38890368).

Almost surely, 2^3426890544 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 3426890544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222458880).

3426890544 is an abundant number, since it is smaller than the sum of its proper divisors (9018027216).

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

3426890544 is a wasteful number, since it uses less digits than its factorization.

3426890544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3426890544 is about 58539.6493327386. The cubic root of 3426890544 is about 1507.6484228013.

The spelling of 3426890544 in words is "three billion, four hundred twenty-six million, eight hundred ninety thousand, five hundred forty-four".