3377386920960 has 1408 divisors, whose sum is σ = 13774768035840. Its totient is φ = 777406906368.

The previous prime is 3377386920937. The next prime is 3377386920997. The reversal of 3377386920960 is 690296837733.

3377386920960 is a `hidden beast` number, since 337 + 7 + 38 + 6 + 9 + 209 + 60 = 666.

It is a super-2 number, since 2×3377386920960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6935085837 + ... + 6935086323.

Almost surely, 2^{3377386920960} is an apocalyptic number.

3377386920960 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 3377386920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887384017920).

3377386920960 is an abundant number, since it is smaller than the sum of its proper divisors (10397381114880).

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

3377386920960 is a wasteful number, since it uses less digits than its factorization.

3377386920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 3377386920960 in words is "three trillion, three hundred seventy-seven billion, three hundred eighty-six million, nine hundred twenty thousand, nine hundred sixty".