345654612240 has 240 divisors, whose sum is σ = 1289455951680. Its totient is φ = 76282321920.

The previous prime is 345654612227. The next prime is 345654612253. The reversal of 345654612240 is 42216456543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345654612227) and next prime (345654612253).

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

It is a super-2 number, since 2×345654612240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 345654612192 and 345654612201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165726 + ... + 847805.

It is an arithmetic number, because the mean of its divisors is an integer number (5372733132).

Almost surely, 2^345654612240 is an apocalyptic number.

345654612240 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 345654612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644727975840).

345654612240 is an abundant number, since it is smaller than the sum of its proper divisors (943801339440).

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

345654612240 is a wasteful number, since it uses less digits than its factorization.

345654612240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013590 (or 1013577 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 345654612240 in words is "three hundred forty-five billion, six hundred fifty-four million, six hundred twelve thousand, two hundred forty".