340475517900 has 864 divisors, whose sum is σ = 1359604646400. Its totient is φ = 69498777600.

The previous prime is 340475517839. The next prime is 340475517937. The reversal of 340475517900 is 9715574043.

340475517900 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 7 + 551 + 7 + 90 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 149264760 + ... + 149267040.

Almost surely, 2^340475517900 is an apocalyptic number.

340475517900 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 340475517900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679802323200).

340475517900 is an abundant number, since it is smaller than the sum of its proper divisors (1019129128500).

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

340475517900 is a wasteful number, since it uses less digits than its factorization.

340475517900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 340475517900 in words is "three hundred forty billion, four hundred seventy-five million, five hundred seventeen thousand, nine hundred".