234490348800 has 648 divisors, whose sum is σ = 886783742208. Its totient is φ = 59019264000.

The previous prime is 234490348789. The next prime is 234490348823. The reversal of 234490348800 is 8843094432.

234490348800 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234490348800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 73207999 + ... + 73211201.

Almost surely, 2^234490348800 is an apocalyptic number.

234490348800 is a gapful number since it is divisible by the number (20) 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 234490348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443391871104).

234490348800 is an abundant number, since it is smaller than the sum of its proper divisors (652293393408).

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

234490348800 is a wasteful number, since it uses less digits than its factorization.

234490348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 234490348800 in words is "two hundred thirty-four billion, four hundred ninety million, three hundred forty-eight thousand, eight hundred".