345030301520400 has 240 divisors, whose sum is σ = 1116345913360128. Its totient is φ = 91085325120000.

The previous prime is 345030301520393. The next prime is 345030301520431. The reversal of 345030301520400 is 4025103030543.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×345030301520400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 185382435 + ... + 187234365.

Almost surely, 2^{345030301520400} is an apocalyptic number.

345030301520400 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 345030301520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558172956680064).

345030301520400 is an abundant number, since it is smaller than the sum of its proper divisors (771315611839728).

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

345030301520400 is a wasteful number, since it uses less digits than its factorization.

345030301520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853510 (or 1853499 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 345030301520400 its reverse (4025103030543), we get a palindrome (349055404550943).

The spelling of 345030301520400 in words is "three hundred forty-five trillion, thirty billion, three hundred one million, five hundred twenty thousand, four hundred".