3439934822880 has 192 divisors, whose sum is σ = 12041362670400. Its totient is φ = 917194752000.

The previous prime is 3439934822851. The next prime is 3439934822993. The reversal of 3439934822880 is 882284399343.

3439934822880 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 9 + 348 + 2 + 288 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35414380 + ... + 35511380.

It is an arithmetic number, because the mean of its divisors is an integer number (62715430575).

Almost surely, 2^{3439934822880} is an apocalyptic number.

3439934822880 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 3439934822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020681335200).

3439934822880 is an abundant number, since it is smaller than the sum of its proper divisors (8601427847520).

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

3439934822880 is a wasteful number, since it uses less digits than its factorization.

3439934822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105234 (or 105220 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3439934822880 in words is "three trillion, four hundred thirty-nine billion, nine hundred thirty-four million, eight hundred twenty-two thousand, eight hundred eighty".