3445443540 has 648 divisors, whose sum is σ = 14072787456. Its totient is φ = 692841600.

The previous prime is 3445443389. The next prime is 3445443553. The reversal of 3445443540 is 453445443.

3445443540 is a `hidden beast` number, since 3 + 44 + 544 + 35 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3445443495 and 3445443504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 111143325 + ... + 111143355.

Almost surely, 2^3445443540 is an apocalyptic number.

3445443540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445443540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036393728).

3445443540 is an abundant number, since it is smaller than the sum of its proper divisors (10627343916).

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

3445443540 is a wasteful number, since it uses less digits than its factorization.

3445443540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The square root of 3445443540 is about 58697.9006438902. The cubic root of 3445443540 is about 1510.3643025520.

Adding to 3445443540 its reverse (453445443), we get a palindrome (3898888983).

It can be divided in two parts, 3445 and 443540, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 3445443540 in words is "three billion, four hundred forty-five million, four hundred forty-three thousand, five hundred forty".