341899978752 has 480 divisors, whose sum is σ = 1108049702760. Its totient is φ = 104611184640.

The previous prime is 341899978733. The next prime is 341899978843. The reversal of 341899978752 is 257879998143.

341899978752 is a `hidden beast` number, since 3 + 418 + 9 + 99 + 78 + 7 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201076909056 + 140823069696 = 448416^2 + 375264^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115622458 + ... + 115625414.

Almost surely, 2^341899978752 is an apocalyptic number.

341899978752 is a gapful number since it is divisible by the number (32) 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 341899978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554024851380).

341899978752 is an abundant number, since it is smaller than the sum of its proper divisors (766149724008).

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

341899978752 is a wasteful number, since it uses less digits than its factorization.

341899978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3020 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 341899978752 in words is "three hundred forty-one billion, eight hundred ninety-nine million, nine hundred seventy-eight thousand, seven hundred fifty-two".