3452400000 has 576 divisors, whose sum is σ = 14295022560. Its totient is φ = 783360000.

The previous prime is 3452399987. The next prime is 3452400031. The reversal of 3452400000 is 42543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25199932 + ... + 25200068.

Almost surely, 2^3452400000 is an apocalyptic number.

3452400000 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 3452400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147511280).

3452400000 is an abundant number, since it is smaller than the sum of its proper divisors (10842622560).

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

3452400000 is an equidigital number, since it uses as much as digits as its factorization.

3452400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3452400000 is about 58757.1272272564. The cubic root of 3452400000 is about 1511.3801103839.

Adding to 3452400000 its reverse (42543), we get a palindrome (3452442543).

The spelling of 3452400000 in words is "three billion, four hundred fifty-two million, four hundred thousand".