30345553920 has 384 divisors, whose sum is σ = 107203824000. Its totient is φ = 7266631680.

The previous prime is 30345553879. The next prime is 30345553921. The reversal of 30345553920 is 2935554303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 not an unprimeable number, because it can be changed into a prime (30345553921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30074376 + ... + 30075384.

It is an arithmetic number, because the mean of its divisors is an integer number (279176625).

Almost surely, 2^30345553920 is an apocalyptic number.

30345553920 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 30345553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53601912000).

30345553920 is an abundant number, since it is smaller than the sum of its proper divisors (76858270080).

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

30345553920 is a wasteful number, since it uses less digits than its factorization.

30345553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 30345553920 in words is "thirty billion, three hundred forty-five million, five hundred fifty-three thousand, nine hundred twenty".