3364776 has 48 divisors (see below), whose sum is σ = 9652500. Its totient is φ = 1055232.

The previous prime is 3364763. The next prime is 3364787. The reversal of 3364776 is 6774633.

3364776 is a `hidden beast` number, since 3 + 3 + 647 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3348900 + 15876 = 1830^2 + 126^2 .

It is a super-2 number, since 2×3364776² = 22643435060352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3² + 3⁶ + 6⁸ + 4 + 7⁴ + 7⁴ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3364776.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 2598.

Almost surely, 2^3364776 is an apocalyptic number.

3364776 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 3364776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826250).

3364776 is an abundant number, since it is smaller than the sum of its proper divisors (6287724).

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

3364776 is a wasteful number, since it uses less digits than its factorization.

3364776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2771 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 3364776 is about 1834.3325761704. The cubic root of 3364776 is about 149.8483801277.

It can be divided in two parts, 336 and 4776, that multiplied together give a triangular number (1604736 = T₁₇₉₁).

The spelling of 3364776 in words is "three million, three hundred sixty-four thousand, seven hundred seventy-six".