3446264544 has 96 divisors (see below), whose sum is σ = 9401333760. Its totient is φ = 1104192000.

The previous prime is 3446264539. The next prime is 3446264551. The reversal of 3446264544 is 4454626443.

It is a happy number.

3446264544 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3446264496 and 3446264505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445542 + ... + 453210.

It is an arithmetic number, because the mean of its divisors is an integer number (97930560).

Almost surely, 2^3446264544 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 3446264544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700666880).

3446264544 is an abundant number, since it is smaller than the sum of its proper divisors (5955069216).

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

3446264544 is a wasteful number, since it uses less digits than its factorization.

3446264544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7856 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 42.

The square root of 3446264544 is about 58704.8936972038. The cubic root of 3446264544 is about 1510.4842596915.

The spelling of 3446264544 in words is "three billion, four hundred forty-six million, two hundred sixty-four thousand, five hundred forty-four".