342784634976 has 144 divisors (see below), whose sum is σ = 1114617224448. Its totient is φ = 97888608000.

The previous prime is 342784634921. The next prime is 342784634981. The reversal of 342784634976 is 679436487243.

342784634976 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 84 + 63 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4011901 + ... + 4096451.

It is an arithmetic number, because the mean of its divisors is an integer number (7740397392).

Almost surely, 2^342784634976 is an apocalyptic number.

342784634976 is a gapful number since it is divisible by the number (36) 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 342784634976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557308612224).

342784634976 is an abundant number, since it is smaller than the sum of its proper divisors (771832589472).

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

342784634976 is a wasteful number, since it uses less digits than its factorization.

342784634976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86585 (or 86574 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 342784634976 in words is "three hundred forty-two billion, seven hundred eighty-four million, six hundred thirty-four thousand, nine hundred seventy-six".