303534138240 has 896 divisors, whose sum is σ = 1160301693600. Its totient is φ = 75676778496.

The previous prime is 303534138233. The next prime is 303534138241. The reversal of 303534138240 is 42831435303.

303534138240 is a `hidden beast` number, since 3 + 0 + 3 + 534 + 1 + 3 + 82 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 303534138195 and 303534138204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303534138241) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 859869904 + ... + 859870256.

Almost surely, 2^303534138240 is an apocalyptic number.

303534138240 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 303534138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580150846800).

303534138240 is an abundant number, since it is smaller than the sum of its proper divisors (856767555360).

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

303534138240 is an equidigital number, since it uses as much as digits as its factorization.

303534138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 303534138240 in words is "three hundred three billion, five hundred thirty-four million, one hundred thirty-eight thousand, two hundred forty".