34401982032 has 120 divisors (see below), whose sum is σ = 105324598080. Its totient is φ = 10395632640.

The previous prime is 34401982007. The next prime is 34401982039. The reversal of 34401982032 is 23028910443.

34401982032 is a `hidden beast` number, since 3 + 440 + 1 + 9 + 8 + 203 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401982039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538408 + ... + 598904.

It is an arithmetic number, because the mean of its divisors is an integer number (877704984).

Almost surely, 2^34401982032 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 34401982032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52662299040).

34401982032 is an abundant number, since it is smaller than the sum of its proper divisors (70922616048).

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

34401982032 is a wasteful number, since it uses less digits than its factorization.

34401982032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60881 (or 60872 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34401982032 in words is "thirty-four billion, four hundred one million, nine hundred eighty-two thousand, thirty-two".