30634746016 has 96 divisors (see below), whose sum is σ = 70014792960. Its totient is φ = 12922828800.

The previous prime is 30634745989. The next prime is 30634746019. The reversal of 30634746016 is 61064743603.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30634746016.

It is not an unprimeable number, because it can be changed into a prime (30634746019) 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, 12865146 + ... + 12867526.

It is an arithmetic number, because the mean of its divisors is an integer number (729320760).

Almost surely, 2^30634746016 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 30634746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35007396480).

30634746016 is an abundant number, since it is smaller than the sum of its proper divisors (39380046944).

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

30634746016 is a wasteful number, since it uses less digits than its factorization.

30634746016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 30634746016 in words is "thirty billion, six hundred thirty-four million, seven hundred forty-six thousand, sixteen".