356310749340 has 672 divisors, whose sum is σ = 1425462829056. Its totient is φ = 72744168960.

The previous prime is 356310749317. The next prime is 356310749357. The reversal of 356310749340 is 43947013653.

356310749340 is a `hidden beast` number, since 3 + 5 + 631 + 0 + 7 + 4 + 9 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41125849 + ... + 41134511.

It is an arithmetic number, because the mean of its divisors is an integer number (2121224448).

Almost surely, 2^356310749340 is an apocalyptic number.

356310749340 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 356310749340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712731414528).

356310749340 is an abundant number, since it is smaller than the sum of its proper divisors (1069152079716).

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

356310749340 is a wasteful number, since it uses less digits than its factorization.

356310749340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 356310749340 in words is "three hundred fifty-six billion, three hundred ten million, seven hundred forty-nine thousand, three hundred forty".