342753552 has 160 divisors (see below), whose sum is σ = 1031184000. Its totient is φ = 108864000.

The previous prime is 342753539. The next prime is 342753553. The reversal of 342753552 is 255357243.

342753552 is a `hidden beast` number, since 34 + 2 + 75 + 3 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (342753553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365427 + ... + 1365677.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^342753552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342753552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592000).

342753552 is an abundant number, since it is smaller than the sum of its proper divisors (688430448).

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

342753552 is a wasteful number, since it uses less digits than its factorization.

342753552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 342753552 is about 18513.6045112776. The cubic root of 342753552 is about 699.8323081303.

The spelling of 342753552 in words is "three hundred forty-two million, seven hundred fifty-three thousand, five hundred fifty-two".