30000378240 has 640 divisors, whose sum is σ = 125118259200. Its totient is φ = 6707515392.

The previous prime is 30000378209. The next prime is 30000378241. The reversal of 30000378240 is 4287300003.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30000378241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17054481 + ... + 17056239.

It is an arithmetic number, because the mean of its divisors is an integer number (195497280).

Almost surely, 2^30000378240 is an apocalyptic number.

30000378240 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 30000378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62559129600).

30000378240 is an abundant number, since it is smaller than the sum of its proper divisors (95117880960).

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

30000378240 is a wasteful number, since it uses less digits than its factorization.

30000378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 30000378240 its reverse (4287300003), we get a palindrome (34287678243).

The spelling of 30000378240 in words is "thirty billion, three hundred seventy-eight thousand, two hundred forty".