3379092696000 has 1344 divisors, whose sum is σ = 14635444561920. Its totient is φ = 726987571200.

The previous prime is 3379092695987. The next prime is 3379092696011. The reversal of 3379092696000 is 6962909733.

It is a happy number.

3379092696000 is a `hidden beast` number, since 3 + 3 + 7 + 9 + 0 + 9 + 26 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3379092696000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1599190944 + ... + 1599193056.

It is an arithmetic number, because the mean of its divisors is an integer number (10889467680).

Almost surely, 2^{3379092696000} is an apocalyptic number.

3379092696000 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 3379092696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317722280960).

3379092696000 is an abundant number, since it is smaller than the sum of its proper divisors (11256351865920).

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

3379092696000 is a wasteful number, since it uses less digits than its factorization.

3379092696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 3379092696000 in words is "three trillion, three hundred seventy-nine billion, ninety-two million, six hundred ninety-six thousand".