30937442400 has 288 divisors, whose sum is σ = 112166570880. Its totient is φ = 8229634560.

The previous prime is 30937442351. The next prime is 30937442489. The reversal of 30937442400 is 424473903.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10085667 + ... + 10088733.

It is an arithmetic number, because the mean of its divisors is an integer number (389467260).

Almost surely, 2^30937442400 is an apocalyptic number.

30937442400 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 30937442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56083285440).

30937442400 is an abundant number, since it is smaller than the sum of its proper divisors (81229128480).

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

30937442400 is a wasteful number, since it uses less digits than its factorization.

30937442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 30937442400 in words is "thirty billion, nine hundred thirty-seven million, four hundred forty-two thousand, four hundred".