3365674416 has 240 divisors, whose sum is σ = 11141099424. Its totient is φ = 974426112.

The previous prime is 3365674393. The next prime is 3365674427. The reversal of 3365674416 is 6144765633.

3365674416 is a `hidden beast` number, since 3 + 36 + 567 + 44 + 16 = 666.

It is a super-2 number, since 2×3365674416² = 22655528549033882112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857290 + ... + 861206.

Almost surely, 2^3365674416 is an apocalyptic number.

3365674416 is a gapful number since it is divisible by the number (36) 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 3365674416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570549712).

3365674416 is an abundant number, since it is smaller than the sum of its proper divisors (7775425008).

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

3365674416 is a wasteful number, since it uses less digits than its factorization.

3365674416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3952 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3365674416 is about 58014.4328249445. The cubic root of 3365674416 is about 1498.6171575563.

The spelling of 3365674416 in words is "three billion, three hundred sixty-five million, six hundred seventy-four thousand, four hundred sixteen".