3452077440 has 672 divisors, whose sum is σ = 14488720560. Its totient is φ = 783820800.

The previous prime is 3452077423. The next prime is 3452077463. The reversal of 3452077440 is 447702543.

3452077440 is a `hidden beast` number, since 3 + 4 + 5 + 207 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 3452077395 and 3452077404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861365 + ... + 22861515.

Almost surely, 2^3452077440 is an apocalyptic number.

3452077440 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 3452077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244360280).

3452077440 is an abundant number, since it is smaller than the sum of its proper divisors (11036643120).

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

3452077440 is an equidigital number, since it uses as much as digits as its factorization.

3452077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 3452077440 is about 58754.3823046418. The cubic root of 3452077440 is about 1511.3330391724. Note that the first 3 decimals are identical.

Adding to 3452077440 its reverse (447702543), we get a palindrome (3899779983).

The spelling of 3452077440 in words is "three billion, four hundred fifty-two million, seventy-seven thousand, four hundred forty".