345261434040 has 640 divisors, whose sum is σ = 1265382803520. Its totient is φ = 84105216000.

The previous prime is 345261434027. The next prime is 345261434099. The reversal of 345261434040 is 40434162543.

345261434040 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 614 + 34 + 0 + 4 + 0 = 666.

345261434040 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345261433986 and 345261434004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 294842655 + ... + 294843825.

Almost surely, 2^345261434040 is an apocalyptic number.

345261434040 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 345261434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632691401760).

345261434040 is an abundant number, since it is smaller than the sum of its proper divisors (920121369480).

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

345261434040 is a wasteful number, since it uses less digits than its factorization.

345261434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 345261434040 its reverse (40434162543), we get a palindrome (385695596583).

The spelling of 345261434040 in words is "three hundred forty-five billion, two hundred sixty-one million, four hundred thirty-four thousand, forty".