3545344440 has 192 divisors, whose sum is σ = 12910116960. Its totient is φ = 836213760.

The previous prime is 3545344433. The next prime is 3545344447. The reversal of 3545344440 is 444435453.

3545344440 is a `hidden beast` number, since 3 + 545 + 34 + 44 + 40 = 666.

3545344440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3545344433) and next prime (3545344447).

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 = 3545344395 and 3545344404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3545344447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134422 + ... + 158618.

Almost surely, 2^3545344440 is an apocalyptic number.

3545344440 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 3545344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455058480).

3545344440 is an abundant number, since it is smaller than the sum of its proper divisors (9364772520).

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

3545344440 is a wasteful number, since it uses less digits than its factorization.

3545344440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24262 (or 24255 counting only the distinct ones).

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

The square root of 3545344440 is about 59542.7950301294. The cubic root of 3545344440 is about 1524.8231546252.

Adding to 3545344440 its reverse (444435453), we get a palindrome (3989779893).

The spelling of 3545344440 in words is "three billion, five hundred forty-five million, three hundred forty-four thousand, four hundred forty".