345537384192 has 1728 divisors, whose sum is σ = 1439938805760. Its totient is φ = 79725772800.

The previous prime is 345537384173. The next prime is 345537384271. The reversal of 345537384192 is 291483735543.

345537384192 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 373 + 84 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×345537384192² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1930376359 + ... + 1930376537.

It is an arithmetic number, because the mean of its divisors is an integer number (833297920).

Almost surely, 2^345537384192 is an apocalyptic number.

345537384192 is a gapful number since it is divisible by the number (32) 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 345537384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719969402880).

345537384192 is an abundant number, since it is smaller than the sum of its proper divisors (1094401421568).

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

345537384192 is a wasteful number, since it uses less digits than its factorization.

345537384192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 345537384192 in words is "three hundred forty-five billion, five hundred thirty-seven million, three hundred eighty-four thousand, one hundred ninety-two".