30402034000 has 320 divisors, whose sum is σ = 83365289280. Its totient is φ = 10644480000.

The previous prime is 30402033899. The next prime is 30402034001. The reversal of 30402034000 is 43020403.

It can be written as a sum of positive squares in 32 ways, for example, as 29739692304 + 662341696 = 172452^2 + 25736^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30402034001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45993670 + ... + 45994330.

It is an arithmetic number, because the mean of its divisors is an integer number (260516529).

Almost surely, 2^30402034000 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 30402034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41682644640).

30402034000 is an abundant number, since it is smaller than the sum of its proper divisors (52963255280).

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

30402034000 is a wasteful number, since it uses less digits than its factorization.

30402034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 30402034000 its reverse (43020403), we get a palindrome (30445054403).

The spelling of 30402034000 in words is "thirty billion, four hundred two million, thirty-four thousand".