3374978516 has 96 divisors (see below), whose sum is σ = 7719264000. Its totient is φ = 1252952064.

The previous prime is 3374978479. The next prime is 3374978647. The reversal of 3374978516 is 6158794733.

It is a super-3 number, since 3×3374978516³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3087266 + ... + 3088358.

It is an arithmetic number, because the mean of its divisors is an integer number (80409000).

Almost surely, 2^3374978516 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 3374978516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859632000).

3374978516 is an abundant number, since it is smaller than the sum of its proper divisors (4344285484).

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

3374978516 is a wasteful number, since it uses less digits than its factorization.

3374978516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1631 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 53.

The square root of 3374978516 is about 58094.5652879854. The cubic root of 3374978516 is about 1499.9968171784.

The spelling of 3374978516 in words is "three billion, three hundred seventy-four million, nine hundred seventy-eight thousand, five hundred sixteen".