3379891048704 has 405 divisors, whose sum is σ = 10720207522101. Its totient is φ = 1058946048000.

The previous prime is 3379891048657. The next prime is 3379891048739. The reversal of 3379891048704 is 4078401989733.

The square root of 3379891048704 is 1838448.

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

3379891048704 is a `hidden beast` number, since 3 + 3 + 79 + 89 + 1 + 0 + 487 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2631403065600 + 748487983104 = 1622160^2 + 865152^2 .

It is a super-2 number, since 2×3379891048704² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4500520329 + ... + 4500521079.

Almost surely, 2^{3379891048704} is an apocalyptic number.

3379891048704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3379891048704 is the 1838448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379891048704

3379891048704 is an abundant number, since it is smaller than the sum of its proper divisors (7340316473397).

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

3379891048704 is an frugal number, since it uses more digits than its factorization.

3379891048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3379891048704 in words is "three trillion, three hundred seventy-nine billion, eight hundred ninety-one million, forty-eight thousand, seven hundred four".