30450038400 has 768 divisors, whose sum is σ = 119270640000. Its totient is φ = 7659048960.

The previous prime is 30450038347. The next prime is 30450038449. The reversal of 30450038400 is 483005403.

It is a happy number.

It is a super-3 number, since 3×30450038400³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132969486 + ... + 132969714.

Almost surely, 2^30450038400 is an apocalyptic number.

30450038400 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 30450038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59635320000).

30450038400 is an abundant number, since it is smaller than the sum of its proper divisors (88820601600).

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

30450038400 is an equidigital number, since it uses as much as digits as its factorization.

30450038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 30450038400 in words is "thirty billion, four hundred fifty million, thirty-eight thousand, four hundred".