3379387392000 has 1008 divisors, whose sum is σ = 12676162498272. Its totient is φ = 899378380800.

The previous prime is 3379387391993. The next prime is 3379387392011. The reversal of 3379387392000 is 2937839733.

3379387392000 is a `hidden beast` number, since 3 + 379 + 38 + 7 + 39 + 200 + 0 = 666.

It is a super-2 number, since 2×3379387392000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6718463749 + ... + 6718464251.

It is an arithmetic number, because the mean of its divisors is an integer number (12575558034).

Almost surely, 2^{3379387392000} is an apocalyptic number.

3379387392000 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 3379387392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338081249136).

3379387392000 is an abundant number, since it is smaller than the sum of its proper divisors (9296775106272).

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

3379387392000 is an frugal number, since it uses more digits than its factorization.

3379387392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 3379387392000 in words is "three trillion, three hundred seventy-nine billion, three hundred eighty-seven million, three hundred ninety-two thousand".