3777340416 has 176 divisors, whose sum is σ = 10598285184. Its totient is φ = 1193803776.

The previous prime is 3777340387. The next prime is 3777340423. The reversal of 3777340416 is 6140437773.

It is a super-3 number, since 3×3777340416³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13636470 + ... + 13636746.

Almost surely, 2^3777340416 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 3777340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299142592).

3777340416 is an abundant number, since it is smaller than the sum of its proper divisors (6820944768).

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

3777340416 is a wasteful number, since it uses less digits than its factorization.

3777340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 3777340416 is about 61460.0717214030. The cubic root of 3777340416 is about 1557.3828042499.

The spelling of 3777340416 in words is "three billion, seven hundred seventy-seven million, three hundred forty thousand, four hundred sixteen".