340924086429696 has 2304 divisors, whose sum is σ = 1328410347264000. Its totient is φ = 81560839127040.

The previous prime is 340924086429671. The next prime is 340924086429701. The reversal of 340924086429696 is 696924680429043.

340924086429696 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 2 + 408 + 6 + 42 + 96 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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, 311915906526 + ... + 311915907618.

It is an arithmetic number, because the mean of its divisors is an integer number (576566991000).

Almost surely, 2^{340924086429696} is an apocalyptic number.

340924086429696 is a gapful number since it is divisible by the number (36) 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 340924086429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664205173632000).

340924086429696 is an abundant number, since it is smaller than the sum of its proper divisors (987486260834304).

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

340924086429696 is a wasteful number, since it uses less digits than its factorization.

340924086429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 340924086429696 in words is "three hundred forty trillion, nine hundred twenty-four billion, eighty-six million, four hundred twenty-nine thousand, six hundred ninety-six".