3392082746944 has 112 divisors (see below), whose sum is σ = 7176301341552. Its totient is φ = 1585268785152.

The previous prime is 3392082746887. The next prime is 3392082747037. The reversal of 3392082746944 is 4496472802933.

It can be written as a sum of positive squares in 8 ways, for example, as 22332313600 + 3369750433344 = 149440^2 + 1835688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423107224 + ... + 423115240.

It is an arithmetic number, because the mean of its divisors is an integer number (64074119121).

Almost surely, 2^{3392082746944} is an apocalyptic number.

3392082746944 is a gapful number since it is divisible by the number (34) 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 3392082746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588150670776).

3392082746944 is an abundant number, since it is smaller than the sum of its proper divisors (3784218594608).

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

3392082746944 is a wasteful number, since it uses less digits than its factorization.

3392082746944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10680 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 61.

The spelling of 3392082746944 in words is "three trillion, three hundred ninety-two billion, eighty-two million, seven hundred forty-six thousand, nine hundred forty-four".