329746983696 has 315 divisors, whose sum is σ = 1039782969999. Its totient is φ = 101212540416.

The previous prime is 329746983691. The next prime is 329746983697. The reversal of 329746983696 is 696389647923.

The square root of 329746983696 is 574236.

It is a perfect power (a square), and thus also a powerful number.

329746983696 is a `hidden beast` number, since 3 + 29 + 7 + 469 + 83 + 69 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3093584400 + 326653399296 = 55620^2 + 571536^2 .

It is a super-2 number, since 2×329746983696² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (329746983691) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 806227140 + ... + 806227548.

Almost surely, 2^329746983696 is an apocalyptic number.

329746983696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

329746983696 is the 574236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329746983696

329746983696 is an abundant number, since it is smaller than the sum of its proper divisors (710035986303).

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

329746983696 is an frugal number, since it uses more digits than its factorization.

329746983696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 427 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 329746983696 in words is "three hundred twenty-nine billion, seven hundred forty-six million, nine hundred eighty-three thousand, six hundred ninety-six".