340411900752 has 960 divisors, whose sum is σ = 1370355148800. Its totient is φ = 79578132480.

The previous prime is 340411900739. The next prime is 340411900793. The reversal of 340411900752 is 257009114043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91041699 + ... + 91045437.

It is an arithmetic number, because the mean of its divisors is an integer number (1427453280).

Almost surely, 2^340411900752 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 340411900752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685177574400).

340411900752 is an abundant number, since it is smaller than the sum of its proper divisors (1029943248048).

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

340411900752 is a wasteful number, since it uses less digits than its factorization.

340411900752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 340411900752 in words is "three hundred forty billion, four hundred eleven million, nine hundred thousand, seven hundred fifty-two".