3513376944 has 800 divisors, whose sum is σ = 14259801600. Its totient is φ = 806215680.

The previous prime is 3513376913. The next prime is 3513376949. The reversal of 3513376944 is 4496733153.

3513376944 is a `hidden beast` number, since 3 + 513 + 37 + 69 + 44 = 666.

Its product of digits (816480) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 3513376944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3513376949) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32232762 + ... + 32232870.

It is an arithmetic number, because the mean of its divisors is an integer number (17824752).

Almost surely, 2^3513376944 is an apocalyptic number.

3513376944 is a gapful number since it is divisible by the number (34) 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 3513376944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129900800).

3513376944 is an abundant number, since it is smaller than the sum of its proper divisors (10746424656).

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

3513376944 is a wasteful number, since it uses less digits than its factorization.

3513376944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3513376944 is about 59273.7458239312. The cubic root of 3513376944 is about 1520.2263259478.

It can be divided in two parts, 351337 and 6944, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 3513376944 in words is "three billion, five hundred thirteen million, three hundred seventy-six thousand, nine hundred forty-four".