340785900400 has 180 divisors, whose sum is σ = 900698211000. Its totient is φ = 123817126400.

The previous prime is 340785900383. The next prime is 340785900401. The reversal of 340785900400 is 4009587043.

It is a super-2 number, since 2×340785900400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340785900401) 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 35 ways as a sum of consecutive naturals, for example, 78357426 + ... + 78361774.

It is an arithmetic number, because the mean of its divisors is an integer number (5003878950).

Almost surely, 2^340785900400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340785900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450349105500).

340785900400 is an abundant number, since it is smaller than the sum of its proper divisors (559912310600).

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

340785900400 is a wasteful number, since it uses less digits than its factorization.

340785900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 340785900400 in words is "three hundred forty billion, seven hundred eighty-five million, nine hundred thousand, four hundred".