349545611520 has 1440 divisors, whose sum is σ = 1552656542976. Its totient is φ = 73256140800.

The previous prime is 349545611489. The next prime is 349545611563. The reversal of 349545611520 is 25116545943.

It is a happy number.

349545611520 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 4 + 5 + 611 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 505854375 + ... + 505855065.

Almost surely, 2^349545611520 is an apocalyptic number.

349545611520 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 349545611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776328271488).

349545611520 is an abundant number, since it is smaller than the sum of its proper divisors (1203110931456).

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

349545611520 is a wasteful number, since it uses less digits than its factorization.

349545611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 349545611520 in words is "three hundred forty-nine billion, five hundred forty-five million, six hundred eleven thousand, five hundred twenty".