30345354000 has 560 divisors, whose sum is σ = 118548756144. Its totient is φ = 7464960000.

The previous prime is 30345353989. The next prime is 30345354007. The reversal of 30345354000 is 45354303.

It is a happy number.

30345354000 is a `hidden beast` number, since 303 + 4 + 5 + 354 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5345949456 + 24999404544 = 73116^2 + 158112^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30345354007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18953200 + ... + 18954800.

Almost surely, 2^30345354000 is an apocalyptic number.

30345354000 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 30345354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59274378072).

30345354000 is an abundant number, since it is smaller than the sum of its proper divisors (88203402144).

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

30345354000 is a wasteful number, since it uses less digits than its factorization.

30345354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The spelling of 30345354000 in words is "thirty billion, three hundred forty-five million, three hundred fifty-four thousand".