345471988062240 has 1536 divisors, whose sum is σ = 1436731769088000. Its totient is φ = 76712146108416.

The previous prime is 345471988062239. The next prime is 345471988062241. The reversal of 345471988062240 is 42260889174543.

345471988062240 is a `hidden beast` number, since 3 + 4 + 5 + 471 + 9 + 8 + 80 + 62 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345471988062239) and next prime (345471988062241).

It is a super-2 number, since 2×345471988062240² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345471988062241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3793057021 + ... + 3793148099.

It is an arithmetic number, because the mean of its divisors is an integer number (935372245500).

It is a 1-persistent number, because it is pandigital, but 2⋅345471988062240 = 690943976124480 is not.

Almost surely, 2^{345471988062240} is an apocalyptic number.

345471988062240 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 345471988062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718365884544000).

345471988062240 is an abundant number, since it is smaller than the sum of its proper divisors (1091259781025760).

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

345471988062240 is a wasteful number, since it uses less digits than its factorization.

345471988062240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91299 (or 91285 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 345471988062240 in words is "three hundred forty-five trillion, four hundred seventy-one billion, nine hundred eighty-eight million, sixty-two thousand, two hundred forty".