32340000 has 360 divisors, whose sum is σ = 134619408. Its totient is φ = 6720000.

The previous prime is 32339971. The next prime is 32340073. The reversal of 32340000 is 4323.

32340000 = T₄₀ + T₄₁ + ... + T₅₇₈.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2939995 + ... + 2940005.

Almost surely, 2^32340000 is an apocalyptic number.

32340000 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 32340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67309704).

32340000 is an abundant number, since it is smaller than the sum of its proper divisors (102279408).

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

32340000 is a wasteful number, since it uses less digits than its factorization.

32340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 32340000 is about 5686.8268832452. The cubic root of 32340000 is about 318.6006605313.

Adding to 32340000 its reverse (4323), we get a palindrome (32344323).

The spelling of 32340000 in words is "thirty-two million, three hundred forty thousand".