34402323132032 has 32 divisors (see below), whose sum is σ = 68555299779300. Its totient is φ = 17196287109120.

The previous prime is 34402323131999. The next prime is 34402323132049. The reversal of 34402323132032 is 23023132320443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33936030815296 + 466292316736 = 5825464^2 + 682856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34402323132032.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37628219 + ... + 38531642.

Almost surely, 2^{34402323132032} is an apocalyptic number.

34402323132032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34402323132032 is a deficient number, since it is larger than the sum of its proper divisors (34152976647268).

34402323132032 is an equidigital number, since it uses as much as digits as its factorization.

34402323132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76163404 (or 76163392 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 34402323132032 its reverse (23023132320443), we get a palindrome (57425455452475).

The spelling of 34402323132032 in words is "thirty-four trillion, four hundred two billion, three hundred twenty-three million, one hundred thirty-two thousand, thirty-two".