34752000 has 160 divisors (see below), whose sum is σ = 116180064. Its totient is φ = 9216000.

The previous prime is 34751993. The next prime is 34752001. The reversal of 34752000 is 25743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34752001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191910 + ... + 192090.

Almost surely, 2^34752000 is an apocalyptic number.

34752000 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 34752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58090032).

34752000 is an abundant number, since it is smaller than the sum of its proper divisors (81428064).

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

34752000 is an equidigital number, since it uses as much as digits as its factorization.

34752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 34752000 is about 5895.0826966210. The cubic root of 34752000 is about 326.3322042969.

Adding to 34752000 its reverse (25743), we get a palindrome (34777743).

The spelling of 34752000 in words is "thirty-four million, seven hundred fifty-two thousand".