30387961296 has 1200 divisors, whose sum is σ = 122605486080. Its totient is φ = 7082380800.

The previous prime is 30387961283. The next prime is 30387961297. The reversal of 30387961296 is 69216978303.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30387961297) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 646552345 + ... + 646552391.

Almost surely, 2^30387961296 is an apocalyptic number.

30387961296 is a gapful number since it is divisible by the number (36) 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 30387961296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61302743040).

30387961296 is an abundant number, since it is smaller than the sum of its proper divisors (92217524784).

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

30387961296 is a wasteful number, since it uses less digits than its factorization.

30387961296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 30387961296 in words is "thirty billion, three hundred eighty-seven million, nine hundred sixty-one thousand, two hundred ninety-six".