30006387840 has 512 divisors, whose sum is σ = 113052360960. Its totient is φ = 6673858560.

The previous prime is 30006387821. The next prime is 30006387869. The reversal of 30006387840 is 4878360003.

It is a super-2 number, since 2×30006387840² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80445894 + ... + 80446266.

Almost surely, 2^30006387840 is an apocalyptic number.

30006387840 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 30006387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56526180480).

30006387840 is an abundant number, since it is smaller than the sum of its proper divisors (83045973120).

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

30006387840 is a wasteful number, since it uses less digits than its factorization.

30006387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 30006387840 in words is "thirty billion, six million, three hundred eighty-seven thousand, eight hundred forty".