3458400000 has 432 divisors, whose sum is σ = 12646440576. Its totient is φ = 832000000.

The previous prime is 3458399993. The next prime is 3458400031. The reversal of 3458400000 is 48543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26399935 + ... + 26400065.

It is an arithmetic number, because the mean of its divisors is an integer number (29274168).

Almost surely, 2^3458400000 is an apocalyptic number.

3458400000 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 3458400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323220288).

3458400000 is an abundant number, since it is smaller than the sum of its proper divisors (9188040576).

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

3458400000 is an equidigital number, since it uses as much as digits as its factorization.

3458400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3458400000 is about 58808.1626987275. The cubic root of 3458400000 is about 1512.2551569611.

Adding to 3458400000 its reverse (48543), we get a palindrome (3458448543).

The spelling of 3458400000 in words is "three billion, four hundred fifty-eight million, four hundred thousand".