356949891840 has 288 divisors, whose sum is σ = 1217373696000. Its totient is φ = 88938823680.

The previous prime is 356949891839. The next prime is 356949891841. The reversal of 356949891840 is 48198949653.

It is an interprime number because it is at equal distance from previous prime (356949891839) and next prime (356949891841).

It is not an unprimeable number, because it can be changed into a prime (356949891841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3400461 + ... + 3503859.

It is an arithmetic number, because the mean of its divisors is an integer number (4226992000).

Almost surely, 2^356949891840 is an apocalyptic number.

356949891840 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 356949891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608686848000).

356949891840 is an abundant number, since it is smaller than the sum of its proper divisors (860423804160).

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

356949891840 is a wasteful number, since it uses less digits than its factorization.

356949891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103483 (or 103469 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 356949891840 in words is "three hundred fifty-six billion, nine hundred forty-nine million, eight hundred ninety-one thousand, eight hundred forty".