30638225280 has 256 divisors, whose sum is σ = 105375090240. Its totient is φ = 7527137280.

The previous prime is 30638225237. The next prime is 30638225327. The reversal of 30638225280 is 8252283603.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18993754 + ... + 18995366.

Almost surely, 2^30638225280 is an apocalyptic number.

30638225280 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 30638225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52687545120).

30638225280 is an abundant number, since it is smaller than the sum of its proper divisors (74736864960).

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

30638225280 is a wasteful number, since it uses less digits than its factorization.

30638225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 30638225280 in words is "thirty billion, six hundred thirty-eight million, two hundred twenty-five thousand, two hundred eighty".