3377746944 has 396 divisors, whose sum is σ = 11594625588. Its totient is φ = 940769280.

The previous prime is 3377746943. The next prime is 3377746951. The reversal of 3377746944 is 4496477733.

It can be written as a sum of positive squares in 2 ways, for example, as 589906944 + 2787840000 = 24288^2 + 52800^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-3 number, since 3×3377746944³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (10668672) is a multiple of the sum of its prime factors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3377746943) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14496652 + ... + 14496884.

Almost surely, 2^3377746944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3377746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797312794).

3377746944 is an abundant number, since it is smaller than the sum of its proper divisors (8216878644).

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

3377746944 is a wasteful number, since it uses less digits than its factorization.

3377746944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 262 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The square root of 3377746944 is about 58118.3873141711. The cubic root of 3377746944 is about 1500.4068443085.

The spelling of 3377746944 in words is "three billion, three hundred seventy-seven million, seven hundred forty-six thousand, nine hundred forty-four".