30741849600 has 960 divisors, whose sum is σ = 130497219072. Its totient is φ = 6193152000.

The previous prime is 30741849583. The next prime is 30741849679. The reversal of 30741849600 is 694814703.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×30741849600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 109401460 + ... + 109401740.

Almost surely, 2^30741849600 is an apocalyptic number.

30741849600 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 30741849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65248609536).

30741849600 is an abundant number, since it is smaller than the sum of its proper divisors (99755369472).

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

30741849600 is a wasteful number, since it uses less digits than its factorization.

30741849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 30741849600 in words is "thirty billion, seven hundred forty-one million, eight hundred forty-nine thousand, six hundred".