3934934814720 has 1664 divisors, whose sum is σ = 16266813308928. Its totient is φ = 789892300800.

The previous prime is 3934934814697. The next prime is 3934934814737. The reversal of 3934934814720 is 274184394393.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12652523365 + ... + 12652523675.

It is an arithmetic number, because the mean of its divisors is an integer number (9775729152).

Almost surely, 2^{3934934814720} is an apocalyptic number.

3934934814720 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 3934934814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133406654464).

3934934814720 is an abundant number, since it is smaller than the sum of its proper divisors (12331878494208).

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

3934934814720 is a wasteful number, since it uses less digits than its factorization.

3934934814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 3934934814720 in words is "three trillion, nine hundred thirty-four billion, nine hundred thirty-four million, eight hundred fourteen thousand, seven hundred twenty".