345404015100 has 216 divisors, whose sum is σ = 1132692659280. Its totient is φ = 91291898880.

The previous prime is 345404015071. The next prime is 345404015107. The reversal of 345404015100 is 1510404543.

It is a happy number.

345404015100 is a `hidden beast` number, since 3 + 4 + 540 + 4 + 0 + 15 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345404015107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2683006 + ... + 2808794.

Almost surely, 2^345404015100 is an apocalyptic number.

345404015100 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 345404015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566346329640).

345404015100 is an abundant number, since it is smaller than the sum of its proper divisors (787288644180).

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

345404015100 is a wasteful number, since it uses less digits than its factorization.

345404015100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125931 (or 125912 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 345404015100 its reverse (1510404543), we get a palindrome (346914419643).

The spelling of 345404015100 in words is "three hundred forty-five billion, four hundred four million, fifteen thousand, one hundred".