306988773749340 has 192 divisors, whose sum is σ = 911337201653760. Its totient is φ = 77085709424640.

The previous prime is 306988773749309. The next prime is 306988773749347. The reversal of 306988773749340 is 43947377889603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306988773749347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16511520 + ... + 29775960.

It is an arithmetic number, because the mean of its divisors is an integer number (4746547925280).

Almost surely, 2^{306988773749340} is an apocalyptic number.

306988773749340 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 306988773749340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455668600826880).

306988773749340 is an abundant number, since it is smaller than the sum of its proper divisors (604348427904420).

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

306988773749340 is a wasteful number, since it uses less digits than its factorization.

306988773749340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264812 (or 13264810 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 78.

The spelling of 306988773749340 in words is "three hundred six trillion, nine hundred eighty-eight billion, seven hundred seventy-three million, seven hundred forty-nine thousand, three hundred forty".